How to add the Organic Group list in the user profile
This question is slightly vague, however, I am going to answer in the two methods that I take away from it.


You want a list of all OG groups on a user page: Create a View for all of the different content you have related to groups (i.e. you have a content type called "Groups" that is an Organic Group).
You want a list of all OG groups that a user is a member of: Create a View (with a contextual link and/or relationship) between the UID in the current URL and get their appropriate group memberships.


You can create either of these Views as a block and place that on the /user page.