Post by bdw
You will file the application for permanent residence. You must satisfy the health and security requirements of the Government of Canada in order to receive a permanent resident visa. It will cost you about eight months.
The CSQ is just the certificate of selection by Quebec. It is not immigration residence document. Your immigration application is only half-done.
During the period when you are waiting for the permanent residence, you need extend your temporary residence permit either as student or worker to keep your legal status.
You may also try to extend as visitor for maximum six months. But once you become visitor , you will have trouble for next extension.