There is not really a given path in Eve. You decide what you want to do.
But of course that’s difficult when you don’t even know what’s possible. This picture might give you an idea of what one can do. Keep in mind that you can switch between things at any given time but you will be limited by your skills at first. But that is usually a good thing. It gives you long term goals and time to practice and to learn. And There is much to be learned about Eve.
If you find something interesting on it, I recommend you use your preferred search engine and look for it on the web. (Or on the wiki QuakeGod posted) There is tons of blogs, videos and other information to be found about the game. Just read a bit. When you find something you want to know more about ask here.
It’s very likely someone will help you out or at least point you in the right direction.
Keep asking questions and after a while you will begin to see which way seem to be yours.