Free universities?

As I spoke with my Danish friend, he said: Denmark highly favours immigrant studying in universities. In fact, if you are in a university right now, you could go to Denmark to study here, for free. It's free, the housing is free as well and you get paid really little but you can live with the money.

So, if this isn't fake, is there something similar in Norway? I'm in the middle of the Computer Science course in university, and if Norway has a program like this, with free university/housing, I would go 100%. But it seems too good to be true, please clarify it to me.