Unfortunately, there's no way to predict when these prizes will become available, or even what the prize will be, but mayors have already been able to earn free collectibles, building materials, Simoleons and extra energy bolts for clicking on links that are posted by the folks at Playfish. In this early stage of the game, multiple prizes have been given away each day, as a way to thank early adopters, so it'd be in your best interests as a player to keep one eye on the page so that you don't miss out on anything special. Of course, we'll do our part to keep you in the loop as well.
For now, make sure to head to the game's official Facebook fan page and click the "Like" button if you want your chance at all sorts of free daily goodies for your town!
What do you think of the prizes being given away on the SimCity Social fan page? Is there anything in particular you'd like to see given away? Let us know in the comments!