If you haven't already, make sure you've got your range membership on file with them too, they've been delaying ALOT of people because of this recently.
Yes. The seller usually initiates the transfer. He will contact you with the Transfer reference number. You will then call the CFO to complete the Transfer. They will ask you a bunch of questions.
Once done, wait for approval. Ask for Approval to come via email. Faster that way.
Seller will ship gun when Transfer is approved.