On Day 1 of the cruise, the ship arrived at Royal Caribbean's private island - CocoCay. The ship can't actually dock there, so you have to be tendered into the island. The night before, we booked a guided kayaking trip for 9:00, which meant we did have to hustle a little bit to get up, get some breakfast, get ready and onto the island in time. It was worth it though!
My 14-year-old daughter and I took this trip - in a 2-person kayak. We recieved a brief history of the area from our guide and then we were off. The water was a gorgeous, clear, blue-green. It was just a treat to be out on the water. Every so often, our guide would stop the group to tell us or show us something. At one point, he passed around a live conch for us to see. Another time, he pointed out some stingrays swimming nearby. We stopped on a secluded beach for little while so we could get out of our life jackets and swim. We found more conch to look at, and our guide pointed out sea grapes that were growing wild on shore. We all had the opportunity to taste them. (They were good!)
After the kayak trip was over, we spent most of the rest of the day on the beach from which the kayaks launched. I recommend staying at this part of the island! It's away from the bar and the food pavillion, so it was MUCH less crowded than the other beaches. We were able to swim (with the occasional small sharks and stingrays!), sun, and lay around in hammocks, and had the area mostly to ourselves.
There are plenty of things to do on the island. Live reggae music plays most of the day. Food is provided by the cruise line. There are many beach chairs and hammocks in which to relax, and shops for souvenier shopping. There's also a nature trail that looked interesting, but we never quite made it there. We did see some interesting iguanas near the entrance to the trail though. For an extra charge, you can kayak, snorkel, jet-ski, take a yoga class on the beach, or get a mat to float on in the water.