Needing some advice on how to go to college in Sweden when I live in America.?

I live in America and I think it would be REALLY cool to go to college in Sweden. But I know you have to get a student visa and can't work when you go there so you have to have enough money to live there the whole year. Well is there any like grants for that or anything? And also if I decided to live there after I was done with college how do you get a visa or how long does it last and how long does it take to get it?