Other than carpooling, which is a great idea if you can find someone to go with, your options are the bus or signing up for a day tour. The bus will be inexpensive ($2.25, but if you get off to do things get back on the same route, you will need to pay again. You do get one transfer), but it will be very slow, and not the most comfortable. Number 8 will get you to Ala Moana Ctr # 52 will take you around the island. A tour will be expensive will lump you together with people you may not have much in common with. But the guides can be very informative you may see things you wouldn t have been able to if you took TheBus. Your hotel desk can hook you up with tours.http://en.wikipedia.org/wiki/List_of_The��
Many people hanging on the Waikiki/Honolulu beach carpool up to the NS beach to get away from the tourists. Ask around in the morning, you should find a ride both ways.
Bus #52, you can pick it up at Ala Moana mall and it ll take about an hour and a half to get up to Waimea Bay, a little longer for Turtle Bay where the bus turns around.www.thebus.org