Yep, as lotusforsale said, it is just two tabs at the top of the surround holding it in. Release those and it slides out. Be careful, as the tabs can break fairly easily. Once it slides out, you can either disconnect the electrical connections or use a stubby screw driver to remove the screws holding the face plate tin the surround.
I painted the lower piece too (the part held in with the screws). When you paint the pieces, mask off the areas where they slide together (the grooves on the surround and the rails on the lower piece that slide into the grooves). If you paint these areas the parts will not slide back together well.