Does an officer or employee of an entity that holds a federal firearms license, such as a corporation, have to undergo a NICS check when acquiring a firearm for their own personal collection?

Yes. The exemption from completing an ATF Form 4473 and a NICS check applies only to the person/entity holding the license, not to individual officers or employees of the person/entity holding the license.

[18 U.S.C. 921(a)(1); 27 CFR 478.11]