One of my friend describes how that hit him when he lost his dad, was that initially it felt like he just went on a vacation and he "will be back", but after a while it hits you when you realize that he won't be back anymore.
I am so sorry for your loss. I've been there. Yes, you are normal. Everyone processes grief in their own unique way, on their own timeline. Just take care of yourself and be there for your family. Support groups are a great way to connect with others during difficult times. Sending prayers, my friend.