It is possible to display form data in emails which are sent out.
Form Response ID
This is the unique number given to each form response. You can show this in an email by adding in the following tag: {id}
Input Fields
You can display any form input field in an email using the following tag: {input_field_1} where 1 is the id of the input field you want to display
Finding Input Field Names
You can find the input field number by hovering over the input field name of the form within admin.