Taxis are typically waiting for visitors at the airport and sea port. They are also easily summoned by phone. Please be aware that there is NO such thing as a "service fee" or "bag handling fee," as some unscrupulous taxi drivers insist. You only pay the fare, and a tip if appropriate.
Public transport on the island consists mainly of minivans that ferry locals to and fro. It is a dollar to take the local bus line anywhere on the island. They typically run about every 15 minutes however they will often wait until they have a full load before departing. It's unclear whether these are government run or privately owned.
Hotels often have their own shuttle services to various points of interest around the island.
Car, motorcycle, and buggy rentals are readily available. However be cautioned that the roads are driven on the left and locals drive aggressively.