How can the person submitting the form get a copy of the form once submitted?

What you need to setup is called an Autoresponder.

Complete guide: Creating-a-Form-Autoresponder

Just follow the guide above to setup one. This will basically send an autoresponder email to the user/respondent who submitted the form.

While you're at it, I also recommend you have a look at this article.

Related guide: Explanation-of-Email-Notification-and-Autoresponder-Settings 

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