Once you are landed you become a PR, regardless of when you get your card. As a matter of fact, you can and probably should use your Copr and get a new SIN and health card.
Also regarding school, the institution may request to see the Copr, but yes even before you get the PR Card you should get the same rate as other PR's and citizens. Some school are extra nice and allow you to resister at the lower tuition with just the PPR email even before Copr. But only a few.
If this was helpful please feel free to rate +1 thanks.