Svolvær is in Lofoten.
A boat from Narvik will take you to Svolvær in 3½ hours.
Svolvær is really compact so the best thing you can do is walk.
There's many art galleries here.
It's not so easy to keep to the budget here. Narvesen kiosk is a good place to buy things such as drink. There's a bookshop in the town, art is being sold in many places and overpriced souvenirs are easy to find.
There's lots of different kinds of accommodation. Hotels are widespread, there's camping or you can get a rörbu (a cabin). Sleeping on the street is possible as it is quiet, but the temperatures can be freezing even in the summer and the cold wind from the sea doesn't help at all.