I haven't receive the information I need yet :)
If you want to know about entrance exams, contact the university. They will tell you all you need to know. You can't get answers to that question on a forum like this.
Cost of living depends mostly on how much you are willing to pay for a room. You can get a basic student dorm room for about 600 PLN total, but expect to pay a bit more.
A student can live on as little as 600 PLN a month on top of rent, but that will be a hard life. 1000 PLN on top of rent is a pretty decent student life.
So you will need at least 1200 PLN a month for a very frugal student lifestyle, and double that for a decent but no-frills student lifestyle.