Tourists land on the international airport in Papeete, Tahiti. From there, you can take a domestic flight to reach Bora Bora. Ferries take a long time to reach, so not a recommended mode of transport.
No direct flights available. You'll be required to look for connecting flights, changing the plane maybe more than twice.
The nearest airport to Bora Bora is on islet Motu Mute.
Catamaran ferries are available that drop you at Vaitape from the airport in Motu Mute.
Taxis and Water-taxis are available for traversing around, but these can be pretty expensive. 'Le Truck' is the local bus system, although economical, but not very reliable for tourists. The best mode of transportation on the island is a rental bike- light on the pocket, and a great way to explore Bora Bora on your pace.