From the instructions on the 4473:
Question 11.a. Actual Transferee/Buyer: For purposes of this form, you are the actual transferee/buyer if you are purchasing the firearm for yourself or otherwise acquiring the firearm for yourself. You are also the actual transferee/buyer if you are legitimately purchasing the firearm as a gift for a third party.
ACTUAL TRANSFEREE/BUYER EXAMPLES: Mr. Smith asks Mr. Jones to purchase a firearm for Mr. Smith. Mr. Smith gives Mr. Jones the money for the firearm. Mr. Jones is NOT THE ACTUAL TRANSFEREE/BUYER of the firearm and must answer “NO” to question 11.a. The licensee may not transfer the firearm to Mr. Jones. However, if Mr. Brown goes to buy a firearm with his own money to give to Mr. Black as a present, Mr. Brown is the actual transferee/buyer of the firearm and should answer “YES” to question 11.a. However, you may not transfer a firearm to any person you know or have reasonable cause to believe is prohibited under 18 U.S.C. § 922(g)