No, there is an important step that you don't understand.
They will send passport back with stamped visa and a COPR (Confirmation of PR). That document is INCOMPLETE for now.
You have to actually LAND as a PR.
There would be 2 options and instructions would be included with the returned passport.
A) Book an appointment at a local CIC office for completing your landing. Usually it would be a few weeks ahead. There you would complete the landing and only THEN become a PR.
B) Go to nearest land border, do flag pole (exit Canada, get administrative refusal to enter US and re enter Canada) and then complete your PR process at the border.
In either case, CBSA or CIC would check (theoretically your entire application), ask you a few questions and then you both SIGN the COPR. Only then it becomes a completed landing document.
PR card will be sent to your mailing address 2 or so months after you do landing.