Put it away for a few months, and then reread it. Chances are, you'll either be disgusted at how horrible it is and throw it away, or you'll realize that it truly does have potential, but you still need to edit and rework it.
Publishing certainly isn't an easy task, and you can sure as hell bet that it does not occur overnight. You also have to ask yourself several questions before publishing; first, is this even good enough to even be considered for publishing? Is the writing any decent at all? Are the characters cardboard cutouts, or are they truly intriguing?
Think on these for a few months before you go all 'I'm going to be a published author' on us.