Is The Online Version of La Guerre des Moutons Identical To the "Real" Game?
As a great fan of this game, I can tell you that yes, the tiles are double-sided. You pick them from a bag, so you can't see anything and you put them in the palm of your had, as described in the rules: 

Using this technique, you can easly hide all the tiles from your opponnents.

Hope it helped!