A user has the ability to search and join memberships. To do this, they will need to click the 3 lines on the upper left > click Memberships. This is how a user sees any memberships they have signed up for on the Membership page.
Below the Membership name, they will see if their membership has been approved, has a pending authorization, or was rejected.
You can learn more about how a user searches for a membership and membership authorization user experience here.