Shopify automatically sends out an order confirmation email to a customer each time they place an order. The booking date and time is included in the order as line item properties and should be in the template by default.
If the date and time are not coming through, here is a version of the template with the line item properties included: https://gist.github.com/gterrill/90d1627acaf5d75d6a28cb9889c0012b
You can customize these templates by following the instructions available below.
NOTE: If you are using the ticket feature in the app, you can also include a link to the ticket in the order confirmation using the code available below: https://gist.github.com/gterrill/52638b61d9b55475e3e6f89486112043
For more assistance with Shopify email templates you will want to contact Shopify support.