Open Air Wooden Architecture of Rus' Population of Podlachia Museum in Białowieża (Skansen Architektury Drewnianej Ludności Ruskiej Podlasia w Białowieży), ul. Zastawa 66B. Complex of wooden huts, windmills and other farm buildings. Also a chapel and a sauna. Most of the buildings are around one hundred years old.edit
Nature and Forest Museum (Muzeum Przyrodniczo-Leśne), Park Pałacowy 11, ☎ +48 85 682 97 04, . 9AM - 4PM Mondays closed. 12 PLN normal 8 PLN discount. edit
Palace Park (Park Pałacowy). An English garden park from 19th century. It assisted the (now nonexistent) palace located on the hill which Russian tzars used in summer while on hunts.edit
The town is surrounded by forest, which is the main thing to see/ do here. There are multiple well-signalled routes ranging from 4 to 14 km. One can hike through them, and some are also cycle-friendly - definitely worth a shot!
The yellow route also leads to a Bison reserve (8 zl, 4 zl for students with a valid ID). It's called Rezerwat Pokazowy Zubrow, and holds the most representative large mammals of the Forest, ranging from lynx and elk to, of course, the endangered European Bison. The latter are also part of a breeding programme that aims at repopulating viable habitat within Poland.
Sarenka Cafe Gallery, ul.gen.Waszkiewicza 8, 17-230 Białowieża (next to the Youth Hostel). A nice place, which sells art as well as hot drinks, fruit juice and similar (sadly no beer, wine or spirits) (the owner often organises live music, film screenings, impromptu feasts etc. Worth checking out).
Chatka Puchatka, 6 Graniczna Street, ☎ +48 502 419 167, . Agro-tourism accommodation "Chatka Puchatka" is a place of high standard situated in a lovely quiet area far away from housing in the nearly Narewka valley. Five double-rooms with bathroom, regional breakfast and dinner or supper are prepared from local, organic products. The house is situated aback with panoramatic view of Bialowieza. The main tourist attractions are 15-20 minutes on foot away. It's possible to rent a bike and set a campfire.From €30. edit
Paprotka Youth Hostel, ul. Waszkiewicza 6 (From the main square of town, walk east, away from the post office. You'll see signs on your right.), ☎ 85 681 25 60, . Very Basic Youth Hostel, member of Hostelling International. About what you'd expect from the location. 47 beds. Self-catering. Reservations for groups over 15 should be made by phone at least three days prior to arrival. UPDATE* The youth hostel is currently closed as of April 2013. Whether it will open again is uncertain. 30 - 60 PLN. edit