1.  Cover it with 1/4" plywood.  Glue alone would probably be sufficient, but you can shoot a few brads in it as well.
 
2.  Layout your door openings.  Drill a hole in each corner big enough to fit a jigsaw blade in, and cut the openings with a jigsaw.  If you don't mess up, you can use the waste pieces as doors.
 
3.  Make a frame for each door out of 1"x3"s.  Allow about 3/4" to 1" of overlap of your door openings.  Miter the corners, and cut a rabbet in the back to hold your plywood panel.  Glue the plywood in place.  This is kind of a cheesy way to make doors, but it's fine for an aquarium stand.
 
4.  Use more 1"x3" or even 1"x4"s to make a molding for the top.  Miter the corners, and attach it so it sticks up above the surface of the stand enough to hide the tank frame, if desired.  Then make a matching one for the bottom.  
 
5.  Attach corner molding to cover the corners and hide the butt-joint in the plywood covering.
 
6.  If you have a router and you want to jazz it up a little, rout an ogee or even a simple roundover profile on your door frames and the molding pieces.  But do this before you assemble the doors or attach the moldings.