Bialystok University of Technology is approximately a 25 minutes’ walk from the railway station. You may also go by bus or by taxi (leave the railway station by the main exit and turn right to get a bus number 10 or left to get a taxi). Buses run from 5.00 a.m. till 11.00 p.m. every day. You may buy local single tickets in kiosks RUCH all over the country. In Bialystok it costs 2.80 PLN, student tickets are half price.
There is an extensive bus network that covers the whole city. The tickets are sold in many places, including newsagents, convenience stores, supermarkets and designated ticket retail points. Only in the latter can you buy daily, weekly and monthly bus passes.
You can find a reliable city plan at Google: The map of the City
Wherever you are in Poland, you must visit one of the milk bars: they offer genuine Polish cuisine for a very affordable price. Bialystok has a couple of them: Podlasiak and Astoria are in the city centre (the latter being unusual for serving beer too), and Topolanka a bit further on the north from the centre on the Wasilkowska street. Expect a decent range of regional cuisine and a very mixed clientele: students, families with children, businessmen.
Białystok provides every kind of accommodation, ranging from expensive hotels (Gołębiewski, Branicki, Cristal ~75 EUR/double room) through mid-range ones (Turkus, ~35 EUR/double room) to budget hostels (~8 EUR/night in a 8-person dorm).
Bialystok University of Technology has his own dormitory (www.akademiki.bialystok.pl).