I'm looking at QII 7.2 right now and don't remember what if anything has changed since QII 6.0 for this. Because you still have a "big FPGA square", I assume that you are actually in the Pin Planner window. In QII 7.2, the grid areas are displayed and hidden by "Groups List" and "All Pins List" on the "View" pull-down menu. Look at this menu while the Pin Planner is the active window to see whether there is a similar display setting that you need to toggle back to on.
If that doesn't help, check for a pane separator all the way to the edge of the Pin Planner window. Hover your mouse pointer near the window edge to look for a place where it changes to the pointer icon for dragging a separator.