My grandmother passed about a month ago.
Oddly, I have been at ease with it too. My largest difficulties with it have been in the support department with my mother and grandfather. It is hard to stand and watch the hurt there at their abrupt lack of her mother and life long partner. You want to say something profound and deeply moving to take away their pain, but nothing fits - you can't do it. I agree you just have to be there for them: listen, smile, hug and be hugged, sit quietly...
It is so strange. A woman that has been there my entire life is just gone... It changes your world view.