Mill the acrylic for the top half of the design. A silver mirror acrylic provides a nice mirror surface, or you could use a white acrylic to use as a whiteboard.
Use this EASEL link
Once all of the parts are cut its time for assembly. The shelf will fit in using the tabs and slots, no glue should be needed. The mirror can be glued onto the front face after the shelf is in (make sure the shelled out portion is on the back). You can mount this to the wall with double sided tape such as the 3M adhesive strips.
The dot grid is designed to the same dimensions of a standard pegboard. You can buy standard hooks from a hardware store to fit into the system. Or if you have a 3d printer available you can design your own accessories!