By default, your members should not be able to add blocks or pages. They would need the permissions to do so. If you are logged in as admin, you will see the add blocks, etc. However if you log in as one of your users, you should only see the edit link which only allows them to update their profile.
Thank you. I turned on Advanced Permissions and made a few adjustments.
You can also set the permissions at the parent page of your member pages and have them inherit from their parent.