Graphics card mix up, Don't understand?

My computer has a Pentium Dual Core.
however upon checking my device drivers, all thats showing up is Mobile Chipsets(yuck) which is completely wrong.
I've been attempting to play some things like ArcheAge and Minecraft and none of them work.

I don't actually understand what you're on about, but the integrated graphics on the Pentium are terrible and wouldn't be able to play these games anyway

"Pentium Dual Core" has nothing to do with graphics devices of any kind. So that bit of information is pointless to mention.
"Mobile Chipsets" are in laptops. Do you have one?
What is your problem here is you have to tell what "computer" you have. Without that, can't guess accurately about anything.