To play the computer you can click the "Play the Computer" button in the Strategy Center on your homepage. This should open up a new tab with a board where you can select what level you want to play from 1 the easiest to 12 the hardest, whether you want to play as white or black, and whether you want the computer to use an opening book (this makes it play much faster at the beginning). Once you've got it set up the way you want you can click play and begin a game.