The type of "soundcard" that usually comes with an HP, is whatever chipset is cheapest at the moment. There's a 99% chance that it's a hunk of shit and that it's integrated onto the motherboard. After you try it and it sucks, I'd suggest finding out how to disable the onboard sound, and getting yourself a decent soundcard.
Sorry to be harsh, but that's the way it goes with the big brands.
To answer your question though, you can get a good idea of the chipset on your mobo by going into device manager and looking under "sound and multimedia". You will probably find ESXXXX (ESS, which is garbage) or CSXXXX (Crystal, equally garbage). Since it's integrated, your only source of information is HP, since they "build" proprietary motherboards. There is a 99.99999% chance that the soundcard is full duplex.
Slackmaster 2000