My newborn (dd) seems to get full from one boob...I try to give her the other one, but she seems content and won't even bother trying to latch on....it has been like this since birth

Should I try to continue to offer the other boob or just let it be?

Fwiw she has plenty of wet and dirty diapers...and appears to be gaining weight (she lost a few oz shortly after birth but gained weight as soon as my milk came in - she was content with just one boob at the time also)