Yes. Section 60 of the act says that any firearm coming into Canada must be recorded with the chief registrar as to the firearm, the type, the serial number, the date it entered the country, and its legal status as it comes into the country. That firearm then goes to a dealer's inventory; they are obligated to keep an inventory book. It's colloquially known as “the green book”. Every single merchant in firearms has to have that green book, and every firearm coming in or going out has to be recorded in that green book.
On November 17th, 2011. See this statement in context.