Currently, there is an ability to use a contact based workflow to send a notification about a ticket being submitted, but it would lack information about the ticket. On the other hand, there is an ability to send a notification about a new ticket, but it would lack information about the associated contact that submitted the Support Form.
It would be great to set up a notification email that gave an at glance of information relative to both the ticket details and details about the contact that submitted it to have a better at glance view for those receiving these notifications.