Click on your finished game, then on the right side of the game there will be a "Computer Analysis" Tab, you click on it and you will get a message from chess.com within 24 hours (usually less then 1 hour for me) then happy viewing!
Note that you can only analyse 1 game per week since your not a member.
I can't find the link that sends your games for computer analysis. Does anybody know what to do?