In the main menu, go to Friends and choose the friend you are interested in. That will take you to their profile.
Athe bottom are 4 icons. Choose the one that looks like a chessboard. That is the archive and current games list. It doesn't look like it loads very many games though, not like it will for your own game archive anyway.
Being a basic member, you'll only see recent games. So, if they don't have any, you won't see any.
I can review my own past games but not friend's. He showed me how he does it on his phone but mine does not have that option. He has an iPhone but I have an Android. There is no games tab to be found.