Go out and stroll around the island.

You leave your villa to explore the island. A path leads back to the main building, while several smaller paths lead to other villas. There's also a big swimming pool to the East and a fenced way to the beach in the West.

You could also decide to leave the compound and stroll into the jungle a bit... well, from what you saw on the plane, it's rather a few trees than a real jungle.