Hi Mark C,
Yes, all bathrooms are required to have an outlet receptacle and it must be GFCI protected. The paragraphs below are from the 2008 NEC (National Electrical Code), however, you should verify with your local building department the requirements specific to your installation (they may depend on age of your property, remodeling projects and their extent, etc.).
In dwelling units, at least one receptacle outlet shall be installed in bathrooms within 900 mm (3 ft) of the outside edge of each basin. The receptacle outlet shall be located on a wall or partition that is adjacent to the basin or basin countertop, or installed on the side or face of the basin cabinet not more than 300 mm (12 in.) below the countertop.
(A) Dwelling Units.
All 125-volt, single-phase, 15- and
20-ampere receptacles installed in the locations specified in
(1) through (8) shall have ground-fault circuit-interrupter
protection for personnel.