There's nothing he can really do to make you forgive him. It's more like continued and consistent actions from him, which will contribute to the process of forgiveness.
In the meantime, there are lots of things he can do... IC, MC, reading, digging deep to find out why he thought it was okay for him to cheat, and making himself a "safe" person to be in a relationship with.
I think a great starting point would be a very concise, yet intense book, called "How to Help Your Spouse Heal From Your Affair" by Linda MacDonald.
Best of luck to you both.