Can the Administrator of the form get email notification?

Is there a way I can have an email sent to myself when a client submits a form? 

Lavon 

You may setup a notification email in your Form. This will let you receive an email when the from is submitted.

Here is a guide:https://www.jotform.com/help/25-Setting-up-Email-Notifications

If you have further questions, let us know.