I am trying to create a bookings form that emails the booker and me the same information.

I have created a booking form that automatically emails me the course details but not the person making the booking. How can i sort this out ?

If you want to send a notification of the details to the person that makes the booking, simply create an autoresponder: 

https://www.jotform.com/help/26-Setting-Up-an-Autoresponder-Email 

Let us know if you need anything else.