Moderation
To moderate the Members Stories wall and submission - you will want to first follow the Share Your Story feedback form from the NationBuilder control panel. This will send you an email every time a new submission has been made. You can do so from this link:
After a user submits - an "unlisted" blog post will be created in the stories wall blog post. By default these blog posts will not be visible on the site - allowing you to review them first. If/when you are happy with a post - just update the status to "Published" and it will appear on the site. You can see all the blog posts here: