Played around some more in Sketchup. The design for this mirror is blatently stolen from the president of my woodworking club. I'm planning to build one, so I thought it would be a good way to play around with Sketchup.
Most of it was pretty easy, except doing the roundovers/coves. To make them, I first pushed/pulled a rabbet the size of roundover along each edge. I then made 1/4 circles and pushed/pulled them along the appropriate edges. Next, I used the line tool to connect the intersecting points of the extruded quarter circles and deleted the extra stuff. Seems like there has to be an easier way? Don't they have a Sketchup Router?