I am the lizard king... I can do anything. This surely appies to the red lizards on the islands... I have noted two sorts of lizards, the red ones and the green-greyish ones... the red ones seem to dominate, chasing all the others away and ignoring the dogs chasing them... obviously oblivious of the people sunbathing and walking right beside them. The photo doesn't do them justice: they are really massive, with a very long tail...
Given the fact that you will spend most of your time in beach or water activites, and that there is really not many other options anyway, you can spend some time admiring the beautiful flowers and plants on the island.
You may even walk the path all around it, it takes about 90 minutes and you'll need sports shos, and see some more flowers and plants. My favourite? The phuong in front of our bungalow.
Swim, snorkel, sunbathe... this is all you have to do on Whale Island, and it is beautiful to spend a couple of days doing nothing... just recharging the batteries, enjoying the views, walking and relaxing by the beach.
No honking motorbike, no unfamiliar or familiar noises, nothing... The island has only a beach, quite a large one, in fact, and it is never crowded.. often we were the only people there. Most people travel to Whale Island to scuba-dive, so during the day you have this little corner of heaven to yourself.