Do you mean this program:
QuarkXPress
-The Wikipedia article says it is the dominant graphics design software in competition with Adobe InDesign.
I didn't see anything on their website about needing a dedicated GPU, but you can always go for a system with one just to be sure to cover any bases and to cover the possibility that they might pick up another design program over time, like Maya, which does utilize hardware acceleration.
What's the budget? If you can give us this, we can dredge up some appropriate systems, but off the top of my head (with no real budget in mind): I'd suggest a Dell Latitude E6400 or the Lenovo T400 (with my opinion leaning towards the T400).