Is it normal for first time grandma to obsess over the grandchild?

To the extent to even mock me ( baby's mother) to her and say that I don't know how to do anything ( even trying to make it sound like a joke), watching me breastfeeding my baby since she wants to watch my baby 24*7. My mom did all this and anytime I got annoyed or pissed she would weep saying my dad was a lucky man, he dint have to see me "misbehave" with her ( he passed away 2 years ago)