Since I'm way better at English than Swedish, I'll answer in English.
No, Swedes, Norwegians or Danes...or Finns for that matter, have any special priority with the American justice system or immigration (other than being really well liked over there, of course), so you can't just get a green card because you're a special Swedish guy and a good Christian and all that jazz...
The law is equal for everyone (at least on paper, and that's what we're talking here - paperwork!).
But there are tons of alternatives, and it's called a visa, you can get everything from temporary work-permits to religious permits or even WIN a greencard at the greencard lottery also known as the diversity program (not all countries apply, but yours does). I'm currently in the draw myself, and there is a 0.4% chance to win it...try for 10 years, and it's a pretty big chance if you compare it to a real lottery...where you could possibly win millions...but only ...maybe 1 or 2 out of 9 million Swedes actually win....the 0.4% is starting to look pretty good, eh?
Read the other threads in here, they explain just about everything you need to know about obtaining a green card.
Short and sweet: Forget about it, and go for the Greencard lottery instead.
Even the Green Card lottery has it's demands, even if you WIN...you'll need to have at least the equivalent of 10 years in school (yes, you need high school exams, and have passed them as well!), if you don't have that...you need at least 2 years of WORK experience in here...work experience in a job that needs at least 2 years of education.
That means...2 years at McDonalds won't qualify you (unless it's a management position you where holding...that again...not anyone straight from the streets could get...no...friends doesn't count, that you mom thinks you're cool doesn't count either).
If you have a SHITLOAD of money ...say....3.5 - 6.5 million SEK (roughly 0.5-1 mill USD), then you can BUY your way into the states, but even that doesn't guarantee you a permanent green card, you must prove yourself an able business man, run a business successfully - employing at least 2-3 Americans for at least 2 years, and then you can apply for an extension if you did well, this could take up to 5 years, and then you'd be in (at least that's what I read somewhere...and I read a lot about this since I want to live there as well) :'(
(I bet the marriage option is starting to sound real good now, eh? Just don't go break some young cuties heart for shit and giggles...)
If you're a superstar, then you could possibly get a Green Card too, but you need to prove that your artistic abilities are widely known and respected (yes - a celebrity of sorts...), doesn't have to be known to every man or woman, but it has to be something of use to USA, something that proves that you'll do well in the States, and NO - again...the fact that MOM thinks you're a STAR doesn't count.
Also...think about this before you hide under a pillow for the rest of your life:
Sweden ain't that bad, bub! We got basically free health care (and believe me, you WILL miss this in the USA as even the smallest accident or virus can end up costing you millions, at least thousands and thousands of dollars), for this reason, American Health Insurance is RIDICULOUSLY expensive. You are maybe young, and inexperienced, thinking that life shines for a kid like you, so what could possibly go wrong? Everything can go wrong! And it usually does.
I was on a small trip to America a few months ago, and I lost my health insurance in the TSA and Airport security, crap...didn't need that anyway, I'm usually quite fine in Sweden for years, rarely ever visit the doctor. Famous last words I can tell you! After two days, I had the most severe blisters on my feet, HUGE BLOOD filled and pus filled blisters, got infected, and I couldn't get medical aid. Since I'm an old experienced rat, I fixed this myself at a Drug store, but it didn't stop there...a little later I was bitten by a brown reclusive (look it up, they're common), and the wounds still haven't healed (now I'm back in Sweden)....and giving some money to a homeless lady, that ended up kissing me as a "thank you note"...didn't make things better, she had some kind of pest disease (big cysts), and could not afford the medical bills...too stupid to know that it could infect me I guess...and guess what...it did! Gotta receive treatment for that weird disease now....BUGGER!!!!#@%&%!@^&
Still...dreaming of USA though, but I'm just telling ya, things aren't as green as they may seem now that you are lonely in that little existence of yours in Sweden, thinking USA is one big party.
I got a job here in Sweden, that was lucky. In USA it's not as easy as over here (yes, I wrote - EASY), because ever since I came to Sweden, I've already had 2 jobs in just 2 years. I was checking out various places in USA, and there you need a DEGREE ON PAPER if you want to make it, a smile and saying - I can prove that I'm good - just doesn't cut it over there. They'll want to know if you've been to an accredited college or something, and much more.
But if you want to start your own, I bet America is a HOOT in comparison to Sweden though.
Just sayin....