Just got a car froim the inlaws a few months back. You can gift one car per year to a close relative and not pay PST on the red book value, iirc. There is never any GST on a sale between private parties.
You can transfer the plates. Saves a little money.
You will need to have the car e-tested and certified, then just take all the paperwork, and your daughter, to the nearest MTO office. Try to go in off hours to avoid lines if you are near a busy one. We waited over an hour.