I believe he wanted to meet the owner of the cave because he didn't know who inhabited the island. When he first came in, he and his men just discovered a cave with food (and sheep I think).
In the cyclops cave
Odysseus and his men indulging in drinking and eating after their battles with the Cicones and in the cave of the Cyclops shows a pattern of reckless behavior. Their lack of self-control and disregard for consequences leads to negative outcomes in both situations, highlighting a recurring theme of hubris and its consequences throughout their journey.
The cyclops kills 6 of Odysseus' men, first dashing their heads against the ground before eating them.
Odysseus expects the cyclops to bear gifts to the travelers.
The Cyclops was herding his sheep and cattle when Odysseus first enter the cave.
Odysseus was curious about the type of men the Cyclops were.
Odysseus and his men walked into the cave during the day.
Odysseus and his men wait in the cyclops cave, as Odysseus is curious as to who the cyclops is. As Polyphemus brings in his sheep, he spots the men in the cave.
The cyclops begins eating Odysseus men, two per sitting. Odysseus and his men make a plan to escape, and get the cyclops drunk. They then stab Polyphemus in the eye blinding him, before escaping underneath the sheep.
Odysseus and 6 of his 12 men escape from the cyclops Polyphemus' cave.
The cyclops (Polyphemus) has Odysseus and his men trapped in a cave. There is a large stone covering the entrance to the cave that is too big for Odysseus and his men to move. If he kills the cyclops, they will not be able to get out of the cave.
Odysseus waited for the cyclops Polyphemus inside the cave with some of his crewmen.