With few exceptions, they are almost copies of each other. The few exceptions would have to do with the residency of the sponsor or parents--that is, whether the parent is a permanent resident as opposed to a citizen. That would make a difference.
Otherwise, with regard to the adoption itself, within the country the provincial review of the parents' fitness to adopt, for lack of better words, is exactly the same for whatever process has been selected, whether it's naturalization or permanent residency.