You're right.. Class A is traded publicly. Class B is what's owned by Sergey and Brin, and it has 10 votes per share (vs 1 vote per share for Class A), and allows them to outvote all Class A shares.
edit correction: "Mr. Page, Mr. Brin and Mr. Schmidt collectively already control 66 percent of the vote through special Class B shares."
http://dealbook.nytimes.com/2012/04/16/stock-split-for-googl...