Web: Simply click your profile on the top of the board.

Tablet/mobile: Simply tap your Profile at the upper-right corner of the main page.

This will open your Profile window where you can view your achievements and basic game statistics such as games won and lost, average game score, highest game score, distance of tiles played, unique words played, current win streak, and played all 7 tiles.

To view your Opponent's profile, simply tap your Opponent's name during the game. Here, you will see your opponent's all time wins, highest game score, average game score, and unique words played.