Thank you for your questions,
Yes, profit sharing is paid automatically to the holders of core tokens. The funds are sent directly to their accounts at regular intervals. Please see the Peerplays whitepaper. and also the Peerplays FAQ for more information on profit sharing.
Our profit sharing module for Graphene will be released publicly on July 1st, and we will be presenting more information on the technical specs of that a week or two before.
As for transparency, the entire code base is open source.