If you are looking for something to do or help with your travels, there is a tourist information booth just down the street from the bridge.
Jelmagyarazat and Koppanymonostor--Fortifications near Komarom.
St Istvan ruled Hungary from 1000 to his death in 1038 AD. He chose Christianity for the Hungarian people, and he established the kingdom with central control over the clans. St Isvan of Hungary is also known as St Stephen of Poland.
You can walk from the train station to the bridge between Hungary and Slovakia in about 15 minutes. When exiting the train station, take the bridge over the tracks and turn left (west) on to Szent I Ut. When it bends to the right, turn left on Bajcsy-Zs Ut which takes you near the bridge. At the next big intersection with Igmandi Ut, turn left and the bridge will be in front of you.
Here is the best map of Komarom that I have been able to find on the internet.
Trains arrive in Komarom from Budapest Keleti Station about every two hours (0705, 0925, 1125, 1325, etc) throughout the day. The trip takes just 1:20 and costs about 1,004 HUF per person (4.60 USD or 3.8 EUR). It is actually much cheaper to take the Hungarian train to Komarom then walk to Komarno to catch the train to Bratislava rather than take the international train from Budapest to Bratslava.
The station in Komarom is located right along the river just about a 15 minute walk from the center of this small town or from the Komarno (Slovakia) bridge.
Komarom is a border transit post for most people. There are a few shops and casinos but unless you know somebody local I'm not too sure you'd find much to do.
The main train station in Komarom has trains to Budapest Kaleti and Szekesferharvar about every 2 hours, travelling time about 2 hours. If going on to Lake Balaton it's best to change at Szekesferharvar but after you've changed trains ask the guard where you need to sit as trains out to Szekesferharvar tend to split off into 2.