Hi Bruce,
You can do a teenage woodworker said, and as John points out, you should glue veneer to both sides of the project. It prevents the top from cupping. On smaller surfaces that are locked in place, this can be skipped, as the veneer doesn't have enough pull to do any harm.
When veneering the back side or bottom, you can use a cheaper veneer of the same or similar characteristics.
When ordering the veneer just tell them you need the same quantity for backer. They'll make suggestions for you.
Titebond also makes cold press veneer glue, which if you are able to clamp it well, across it's entire surface will also give you a good adhesion.
Douglas; Thanks for remembering my site as well as recommending it. Much appreciated.
Lee