You can definitely send the facilitator a cc of the basic or detailed admin notification email. Simply add ;{FacilitatorsEmail} to the end of the appropriate Notification and Data Management field (
documentation
).
Sounds like you want to add a cc to the confirmation email which thanks the user for their participation.
A logical way to do that might be to add ;{FacilitatorsEmail} to the end of the email address for the subject in the tokens table, but that doesn't work at present (but you could propose it as an enhancement request).
However, the basic or detailed admin notification email should be adequate for your needs. If there is some text from the confirmation email you need, you can edit the admin notification emails to include that text.