Can I connect a dishwasher and an outdoor outlet on the same circuit?
The 2014 NEC now requires the dishwasher to be on GFCI.

The 2014 NEC does not require the dishwasher to be on an individual circuit (it never has). So, you could feed either receptacle on the load side of the other with a GFCI. Or you could put the whole circuit on a GFCI breaker.

If your locality is still on the 2011 NEC the GFCI requirement was not in there for the dishwasher then but it was for the outside receptacle. So, as Isherwood points out, you could feed the outside from the DW receptacle as long as it is a GFCI receptacle.

Additionally, all residential receptacles have to be tamper resistant. Outdoor receptacles have to be TR and weather resistant with an in-use cover that is rated "extra duty".

Gets complicated eh?

Good luck!