Yeah, freelance graphic design as a job is a dream. Problem is, it's not as easy as it sounds. These days you have a million people (from 14 - 20, heh) who knows photoshop and took a few tutorials and they are all graphic designers, and they are of course freelance. They are all new to the game without formal education, and therefore comes frightenly cheap. I could ramble on about this and the effect on the graphic design-scene forever but that's beside the point :P
The point is that it's hard to make it into the freelance-world as a beginner. You need a strong portfolio and hopefully a well-established network. I don't know how old you are, but if you are thinking about doing this full-time and beeing economical depedant on it, you should have caution, be shure you have the money to survive if the jobs don't come, because they'll probably be sparse, at least in the beginning. I'll write more later if you want
