Yes, the dragons and eggs in the sidebar. That would be them.
There really isn't much to them, but you can help feed them and keep them warm by clicking on them.
Why? Because that helps them grow. Each click puts them closer to being adult dragons. So when you see a baby or an egg, please give it a click - but only one per visit. Then just sit back and watch them grow.
Again, why dragons you ask. Well, it is a game and once you have some adult dragons, you can play an few online RP games. Never did that before, so I decided to give it a try. Can't hurt.