There is a shuttle service (customary to tip $1 to $2) between the airport and hotel. At the Airport, you can pick it up at Zero Level, behind the Baggae Claim Informational Desk. The driver will drop-off/pick-up accross the driveway (to the right), directly across from stalls #21 & #22. The shuttle is a white van with Green Valley Ranch logo and is available on a first come first serve basis.
A taxi ride would cost about $20 one way.
There is an attachment with the shuttle schedule.