Free city bus and trams until end of May 2022
You can use public transportation free of charge – as long as until end of may 2022.

You can use buses and trams with this logo for free as long as you have a document proving that you have ukrainian citizenship and that you have crossed the border after 24th February. You can visit ZDZiT website for more information on public transportation, however keep in mind it is in polish language only.
Free city bus and trams since 1st June 2022
If you wish to continue free bus and tram rides in city of Olsztyn you need to apply for Olsztyńska Karta Miejska (Olsztyn City Card) before 25th may. You need to apply in Customer Service Point located in at Aleja Piłsudskiego and provide proof that you have crossed the borded after 24th February.
Jakdojade.pl
You can use free and popular polish website jakdojade.pl which will help you to use public transportation. You can either use website or dedicated app on your phone. English language is supported, just choose your location (using GPS) and select your destination.

Railway – Polskie Koleje Państwowe (PKP)
You can travel by rail free of charge using PKP, however you need free ticket to do so. Please visit official website to find more information.
800 033 022 – free of charge phone line where you can get railway information in ukrainian language