How to set up email notification if someone submits a form?

Can it be set up so that I would receive a notification if anybody were to submit a form?

It's possible to receive an email notification from new submissions, you may refer to the guide below in order to get more details on how to set this up: https://www.jotform.com/help/25-Setting-up-Email-Notifications 

If you install our JotForm Next app you can be notified on your phone too about new submissions. Here are the links where you can find it: 

https://play.google.com/store/apps/details?id=com.jotform.v2&hl=en_US

https://apps.jotform.com/app/iphone_app_(next) 

If you have questions, let us know.