I don't have ads on mine, so I assume yes. If not, it is always good to support the developer. This app is made by a 3rd party who was contracted by WPCentral, the 3rd party I believe keeps 100% of the sales.
It is the only reason why IOS and Android apps are free, because they are made in house, while the WPCentral app is 1st party, it is made by a 3rd party.