One reason that you are able to look at it is because this effect allows you to play the exiled card. This effect does not say you can play it without paying its mana cost, so you will have to pay the mana cost of this card. In order to make sure that you have the proper mana you will need to look at the card before playing it.
The example from today’s Rules Tip was suggested by George FitzGerald, a level 1 judge from Sarasota, Florida, United States.