Okay that's complicated. First off I'd need to ensure my survival. Would I be able to see whether the island has any fauna? What flora there is? If i'm not allowed to peek, i'd choose two animals, male and female, and seeds of some plant that bears edible fruit and grows in the region, possibly one that i can also feed my animals with.
If i'm allowed to peek, and there's fauna that can be farmed for food, then i'd pack survival gear. Tent, machette, flashlight. If I peek and there's no fauna or fruits i choose to take a rowboat, a fishing pole and a machette.