When I create an event form do they rsvp on that form and it is submitted where?

You could set up an email notification that will be sent each time your form is submitted: https://www.jotform.com/help/25-Setting-up-Email-Notifications 

You can also view all your form submissions on your JotForm account, please check this guide for more details: https://www.jotform.com/help/269-How-to-View-Form-Submissions 

I hope this helps.