Lokru is not really blessed with beautiful beaches, but there are a couple of spots which can be used to swim. The place I would recommend is close to the arrival point for the ferry. It's not a sand beach, but offers easy access between the rocks or so-called communist beaches (concrete platforms to take a sunbath with ladders to get into the water). On the opposite side of the island, there is another access point, buth this one has far more rocks. Still, it is possible to swim here. The island also has a nudist beach at is southernmost point.
Not really a beach, but interesting to those with small kids: The Dead Sea. This small lagoon is not really exciting, but has clean, shallow water.
Founded in 1023, this medieval monastery is one of the oldest structires in the region. They cultivated vegetables, fruits and herbs on the island and this heritage is still preserved in form of the botanic gardens from 1959. Over the centuries, the abbey was altered and expanded until the earthquake from 1667. From then on, only necessary repairs where done until 1798 when the monastery was officially abandoned. The last monks were expulsed from the island on oder of the Napoleonic forces in 1808. There is a legend saying that the monks placed a curse on everyone who would use the island for his own private pleasure - which should have led to the French defeat and the demise of Maximilian of Austria.
Today, only the ruins remain. You can walk along the old cloister and guess wherefore which part of the monastery was used centuries ago. The only part which was refursbished was the part where the restaurant is located now. A really interesting place to walk through.
Fort Royal was built on the highest spot on the island by the French Occupiers in 1808. The complex consisted of several buildings. When the Austrian Habsburgs took over Dubrovnik, the island became a private property of Archduke Maximilian in 1859. The castle was turned into a private residence and known under the new name „Maximilian's Tower“. The way up to Fort Royal and any hiking paths date from this time.
After the demise of the Austrian Empire, the castle was left into decay. The main tower, a short put very wide building, is the only structure which has been somehow maintained. It can be climbed and offers an excellent view onto Dubrovnik's old town. The other buildings are ruins only. Look for the house (porbably a warehouse) which has been filled with earth completely.
The path is steep, especially towards the top, but takes less than 30 minutes and your reward is the magnificent view of Dubrovnik, Cavtat and the island itself. Even the path on the way down from the fort on the far side of the island from where the boat docks gives wonderful tree-framed vistas of the old town. Do wear suitable shoes as the path is quite stony.
Lokrum is a small island just in front of the old town of Dubrovnik. The whole island is now a small nature resort protected by the Croatian Academy of Art and Science and its worth a stroll over here if only for some peace and quiet away from the tourist trappings of the old city for a few hours - half a day is more than enough for this small island. The name Lokrum comes from the Latin, acrumen, meaning sour fruit and it's a name that comes from the tradition of bringing and cultivating exotic plants from all corners of the world on the island, a tradition started in the time of the Bendictines.
A few steps from the monastery and restaurant complex is a botanical garden. Probably grand in its day with tropical and subtropical plants but seemed somewhat neglected now - or perhaps it was just too late in the season. Mainly trees and cacti on view - these were about the most colourful that we saw.
Walking through pathways you can easily reach the old Benedictine monastery preserved and partly restored into the Maximilian of Habsburg palace in 1859.. The cloister is epecially an idyllic place to see - hardly a soul around. It now serves as a restaurant and cafe bar - a pleasant place for a spot of lunch and this area also seems to be home to several peacocks!
Lokrum was also known as the island of kings, its first written mention was in 1023 when the Benedictine abbey and monastery were founded. According to legend, Richard the Lion-heart was shipwrecked here in 1192 after returning home from the crusades and found himself cast ashore, safe on Lokrum. In return he pledged to build a church on the island indebted for the salvation it gave him but at the plea of Dubrovnik citizens, the church was not built on Lokrum but in The City instead.
Another path on the island leads to a natural feature on Otok Lokrum - a small lake linked with the open sea, called Mrtvo more - Dead Sea. An idyllic place in the summer I imagine for a dip - but watch the stones though - best to wear swim shoes.
This pic shows just what I mean about the views - its stuning! At first its just a glimpse but then it gets better and better as you get higher and higher. The views across to the other side of the island are just as lovely two (third pic) and down the coastline towards the resort of Cavtat. (Pic 4)
Markers point out walking routes on the island and points of interest and one of the most popular ones is the path up to th old Fort Royal on the highest point of ther island. The fort is built in a 5 pointed star shape by French army in 1806 and can be climbed.
The Island has a pretty little lake called "Mrtvo More" or the "Dead Sea. " It is a nice place to go swimming. The water in the lake is warmer than the Adriatic this time of year. There is a hanging rope where you can swing into the water and also a small cave.
Take a hike uphill to the old fort. Although the walk to this fort is really not that far, it takes longer to get there than it may appear to be on the map since it is uphill. It is worth it because of the lovely views of the city of Dubrovnik from this point.
There are several rocky beaches around the perimeter of the island with ladders leading to the water.
The Adriatic was a little chilly for me in May, but it was very pleasant sitting on these rocks in the warm sunshine. It seemed like a lovely place to go swimming in the summer months.
Not far from the dead sea lake are some lovely formations in the rocks on the coastline - rocky bathing platforms are popular with sunbathers here too. We didn't swim here but just enjoyed the views.