Don't worry, they are all backwards compatible meaning you can use a SATA 1 drive with a SATA 1/2/3 connection. It will just suffer a TINY bit in terms of performance.
Having SATA ports that operate at 6Gb/s is a big marketing point these days.
HP's product specs on the laptop don't specifically say that it supports SATA III, so you should assume it doesn't.http://h10025.www1.hp.com/ewfrf/wc/document?cc=us&lc=en&dlc=en&docname=c03331680
Ah ok. Yea sorry I'm new to the whole SSD connection stuff. It feels like how USBs are with the whole 1.0, 2.0, and 3.0.