is it seriously that easy?
Pretty much dude. As long as you're saying something that's not boring and not retarded, you'll probably do OK.
It's not like you need to have a philosophical debate here. Jump in, say some dumb crap for a minute or two, get her name, then pop out out come back to say hi later.
You can always ask her what she's drinking. I like that one. If it's alcoholic, accuse her of being drunk. If it's not, give her **** for it. Or the old "Hey, I know you!". The possibilities are endless!
I still think the hardest part is starting the movement.
The trick I use:
Move your foot, or arm, or head, or anything, even a slight bit in her direction, and once you start moving it's easier to keep going than it is to turn back. Once you just START the approach everything gets a hell of a lot easier. It's like the hill you have to climb so you can coast the rest of the way down. Just get moving and you'll find the hardest part is over.