Is there any way possible to enable a component within my Moodle site that emails me (the administrator) an alert stating that a user/ student has completed an assignment/ quiz?
Hi Andrea,
The assignment settings do allow a teacher to be notified of submitted assignments - if it was feasible you could give yourself a teacher role.
Another option might be events monitoring. See https://docs.moodle.org/33/en/Event_monitoring
Catherine