Right, you fly to PPT... your profile lists you as located in SBA, so you'd fly out of LAX... Air Tahiti Nui (TN) flies the most flights LAX-PPT, Air France also offers flights, and currently Air New Zealand does as well (though IIRC they'll ending this service).
Once you reach PPT you fly the local Air Tahiti (VT) carrier PPT-BOB.