GO:0003831:   beta-N-acetylglucosaminylglycopeptide beta-1,4-galactosyltransferase activity
Catalysis of the reaction: UDP-galactose + N-acetyl-beta-D-glucosaminylglycopeptide = UDP + beta-D-galactosyl-(1->4)-N-acetyl-beta-D-glucosaminylglycopeptide.