When you purchase an island from the pirates, they will take you to your new island and drop you off at the beach.
Islands will be raw, with overgrowth and nature running rampant. It’s up to the island owner to begin clearing land and paths for settlement, exploring the island to uncover the map view, scavenge for junk and collect resources.
You first want to secure your shelter, food and water. Additional shelter will need to be built to accommodate any new land owners to your island, until they are able to build their own. Additional shelters built by the island owner can be reused for other new citizens to the island.