From Queenstown Airport, you can catch the number 1 bus to the Sherwood Manor stop and walk down to the apartment. ($10.00 cash, or $2.00 with a BeeCard (beecard.co.nz). 

A taxi can be taken for around $35.00-$40.00.

if hiring a car, park in carpark number 28 (turn right at the bottom of the driveway).