It depends on your dealer how quick or overloaded they are. Car gets a PDI check cleaning , taking protective wraps off from here and there locking wheel nuts etc. Basically they do the last bit of check-up also the registration plates need to be installed.
Usually a day or 2 as per my experience.
On the actual delivery day some walk you through the car and system briefly and some do a very detailed one.
Check they have deflated the tyres from the transport pressures.
First week I had my car I was surprised how hard the ride was. Only when I was playing about with the system that I went into tyre pressures and they had 60 in the fronts and 50 in the back, no wonder it was a hard ride !!!!!
Makes me wonder what else they didn't check properly ??