Watch the midnight sun at the beautiful beach of Mjelle, 30 minutes out of town by car.
Ride by boat to the lighthouse at Landegode, and have a look at the norwegian coastline.
Enjoy the many music festivals in the region every summer
Bodøsjøen Camping. Nice camping. Too bad it's near the airport, so the Boeings and even F16s will fly right over your head.
Geitvågen Camping. Camping place around 10 km out of town. Quite big, but the bus routes to the city are very sparse.
Radisson SAS Hotel Bodø. The biggest building in Bodø (or tallest, anyway), with a niceish bar (Topp 13) on the top floor with a rather good view of the city.
Most travellers only pass Bodø on their way to the Lofoten islands. You can go there by boat(ferries or the coastal express), or by plane to one of the airports, one located close to Svolvær, and one located in Leknes. The plane trip to these places take about 25 minutes, while ferries take several hours.
You can go to Narvik by bus, and you can travel to most parts of Nordland by boat.
There is also a bus connection to Skellefteå from Bodø, which stops several places both in Norway and Sweden.
Bodø is the last station on the Nordlandsbanen rail line, with which one can travel directly to Trondheim and a big variety of locations in the Helgeland region.