Zubr is one of the two local beers coming from the Dojlidy brewery in Bialystok. You may find it is a bit on the stronger side with the 6.2% alcohol content but it's really nice!
"Zubr" is the Polish word for "lowland bison" so it's the beer to try if you go to Bialowieza :-) You can actually by this beer all over Poland, and it is well-known for a funny commercial in which bisons, standing in the deep forests, are humming a tune from a Polish movie, hehe!
Another local beer is called Dojlidy, also available throughout Poland.
Holes in the stem of century old Pines is the natural place of living for bees. Honey from Bialowieza is well known, though less and less produced this way