They sound like you don't have a graphics card, but a motherboard with an integrated graphics chip.
To find your info, My Computer, System Properties, Hardware tab, Device Manager, Display adapters. That is what shows my graphics card type.
So you if you have an integrated graphics chip then you could add a new graphics card, but you would to know what type of card your motherboard supports, a) VGA video slot and there are many different incompatible types, or b) PCI video slot.
So this isn't a straight forward task and you may be better visiting a hardware/gaming support site.
Edit: Oops, sorry about any confusion, made a boo boo with my image numbering