Catalysis of the transfer, in a beta 1,3 linkage, of D-glucuronic acid (GlcUA) from UDP-GlcUA to the disaccharide galactosyl beta-1,3 N-acetylgalactosamine, a common component of glycoproteins and glycolipids.
galactosyl beta-1,3 N-acetylgalactosamine beta-1,3-glucuronosyltransferase activity