With the free version of the plugin, only one “new” email is added to the WooCommerce default ones. You can find it in WooCommerce > Settings > Emails.
The default email template for quote requests can be customised for some fields. After clicking on the tab Emails, click on the specific “Email to request a quote”.
The template can be edited using the tools directly available in the general email settings. You will find these options at the bottom: