Levera beach is beautiful and also, on the day we visited, completely deserted. There are wonderful views across the bay to Sugerloaf and also further North to Carriacou.
A couple of warnings though:
There have been incidents of theft from cars on the beach (though this happens where we live as well). We didn't leave anything of any value in the car and, as advised, we left the car unlocked and windows down. We had no problem.
Secondly, although the sea looks inviting, it is very dangerous swimming here as the undercurrent is strong. Go to Bathway up the road to swim as the beach is protected there by a limestone reef