Alrightty, I got it figured out (and got my gun!).
Before going to pick up, I had to have:
(1) Buyers transfer form (received from RCMP in the mail)
(2) Registration (received from RCMP in the mail)
Then the seller receives:
(1) Seller transfer form (from the RCMP)
THEN, I apply for and receive:
(1) STATT (short-term authorization to transport).
After killing those rainforests, I was able to pick up the new firearm.
Looking forward to hitting the range tomorrow (yes, I have my LTATT already)!