You get buses from Henninsvaer right down to Å [sic] in the south of Lofoten but if you have limited time, a very pleasing trip is to Henninsvaer, a dleightful coastal village spread over a number of islands.
The hurtigrute passes close to the fjord's mouth and we were only taken thus far because navigation in the fjord itself is endangered by falling rocks in the spring and hence prohibited.
However this would be a most enthralling trip in the summer, when the hurtigrute has to do a three point turn to get out again and when trips are run from Svolvaer.
One foul-weather choice is the bowling alley. The 6-lane alley has a small stand selling pølse, hamburgers, french fries, and soft drinks. Prices are NOK 40 for adults, NOK 30 for children, students, and seniors. Opening hours are Monday-Thursday 5-10PM, Friday 5-11 PM, Saturday noon-11PM, and Sunday 4-10PM. There's also a "senior-bowling" time on Wednesdays from 11AM-2PM.
A worthwhile diversion is a walk to the nearby island of Svinøya. Walk down the main road (the water should be on your right) until you see a long, arching bridge on your right. Turn right and cross the bridge. On the island, there's a small store, some "Rorbu" fishermen's cabins (you can stay in one of them if you want), and an art museum. You'll also get some excellent views of Svolvær, the Svolvær Geita, the sea, and the surrounding islands. Walking time is roughly 20-30 minutes from the town center. We spent about 2 hours wandering around.
The "Svolvær Goat" is a unique formation overlooking Svolvær. It is possible to hike here, but in the weather we were experiencing, it was out of the question. We managed to get some good views of it during our wanderings, though.
During the summer, the Nordnorsk Kunstnersenter doubles as the tourist office. Inside, you can get good information on the area, as well as purchase various photography, posters, paintings and knick-knacks. They have tables by the front door, where you can sit and read for awhile. On nice days, there are also benches and tables just outside (Note to literalists: the benches and tables are still there in rainy weather, but you might not want to use them...). If you're discreet, you can use the WCs on the top floor in the administrative offices. Note that "Kvinnefolk" means "womenfolk."