card but it does like a whole lot of processor ummph1

The graphics on the MacMini depends on which machine you get.
The 2.5Ghz, i5 machine has a graphics card that does not share the memory of the Mini, it has its own
ALL the other variations, including the i7, use the Intel HD Graphics 3000 card which shares the onboard RAM.

For video work, the i7 would be the way to go as it has more ummph in the processor