You can view the Federal 4473 form online directly off ATF’s website.
First question: “Are you the actual transferee/buyer of the firearm(s) listed on this form?”
You can’t buy a gun for the other guy, this would be a straw purchase.
Now, bonafide gift of a firearm is completely legal.
On the last few 2 pages of the 4473 each section has a paragraph explaining more details behind what they are asking. Here is a screenshot:
If you read the whole thing it does not specify who the gift comes from. In fact they use an example of 'mr. Black and mr. Brown"
In this example, are you paying your friend back? -straw purchase.
This is JUST the 4473. I have no idea what other forms/hoops you have in AZ. Here in WI we have
a WI DOJ form that gets filled out for all handgun purchases. I could gift a firearm to Dawn if I wanted to (keep dreaming lady!) Some states only have the 4473 to fill out regardless of handgun vs long gun. In IL as example, both parties must have FOID cards for a gift (not sure if handguns are included with this) Certain states restrict the term ‘bonafide gift’ to mean direct family member as well. Basically, check AZ laws. Know them inside and out and keep checking in on them.