Ask your notary to prepare a mortgage discharge. This document confirms that you've paid all amounts due and that your property no longer serves as collateral for your debt.
You don't need to get a mortgage discharge as long as you're the owner of the property and your mortgage deed is in force. For example, if you have a line of credit linked to your mortgage, you might want to postpone getting a discharge so you can continue to access this financing source. It's up to you. Feel free to contact your mortgage advisor so you can make an informed decision.