The islands of Tahiti are known for their quality health services. The cities of Papeete and Uturoa have fully equipped hospitals. There are clinics, infirmaries, and dispensaries throughout the country. Medical transfers are available in case of an emergency.
You probably have less chance of getting sick in French Polynesia than in any major international country. There’s no malaria, land snakes, poisonous spiders or crocodiles. Mosquitoes do exist in quantity. Dengue fever will be a concern when there is an outbreak. Your biggest worry will be sunburn and avoiding infection in minor cuts and scrapes.

Medical Doctor's office in Patio, Taha'a
Full Service hospital near Motu Moie
Raiatea Radiology Clinic near Motu Moie