Please, start out with pencil eyeliner and maybe move onto liquid when you're pro. I use eyeliner 95% of the time I go out. But anyway, basically when applying it to your top eyelid, you pull on it on the side and just smooth it over right above your eyelashes. That's how I do it. Same with your bottom lid.
Since I can't explain things well, here's what I said in english:
For lining the top lid, use your non-dominant hand to pull the skin on the top of your eye taut, and then apply your eyeliner with your dominant hand. It may help to rest your dominant hand against your face as you apply it to help with control and support. It may take you a few attempts to get it right, but practice makes perfect!
For the bottom of you eye, again rest your dominant hand against your face to line, and use your the other hand to help keep the lower lid taut.
Another word of advice is to not do your whole eyelid, maybe 3/4 or 1/2 because you'll end up looking like a raccoon or a star on Laguna Beach. ><