Many players simply rely upon the Leger to review their opponent's play.
To see the replay is a bit complex, but if you know the exact install location of your game files, then it can be very simple.
When you have loaded your game use this command ctrl ~
That is Control and the Tilda sign ~
On USA computers this key is on the far left right under the escape key.
The ctrl ~ command opens the game consol
Use a ? to open the menu.
You will see the LoadReplay (may it is RunReplay) Select that, add the path to your folder and it should work.