Hon, it's more than normal...that or I'm as un-normal as they come. My beloved grandmother passed away Oct. 1st, 2001. I still miss her and cry when silly little things come up that reminds me of her. She was in her late 80's and I'm in my 40's but when it comes to my Nana, I'm still a little girl.
I find that things I cherished doing with her(stringing popcorn for the trees, watching reruns of Dr. Quinn, canning, garage sales, and spending hours shopping for the perfect flower garden plants), I can't do anymore because of the tears. If something momumental in my life happens, I still pick up the phone to call her.
I will share that in time, the blow of your loss will soften, but the tears and/or grief will still be there...at least it is for me.
Something I did, to help keep her legacy alive, I took over her commitment of keeping our family together. There is well over 100 of us...her children, grandchildren, great grandchildren, and great great grandchildren. I see that everyone gets together for Christmas and each person recieves a gift from Nana. Just as she did when she was alive. Just some small trinket that reminds them of Nana...something she would buy for them if she was alive.
This small gesture has now started new tradition within our family. My cousins now make sure there is an Easter, a Thanksgiving, and a fall family picnic. We share stories and bring albums of our grandparents, aunts, uncles and when we were younger. This past christmas, several of us got together and made a cd of various pictures in a time line with grandpa's music as the background(he was known for his musical talent) and grandma and grandpa talking about how great their life was being blessed with our family(this was found after their deaths when we were clearing out the house. There wasn't a dry eye at the party, but they were tears of love and life not of sadness from missing them.
My Nana was a strong, loved, cherished, and respected woman who gave us life, laughter, love and most of all, a sense family.
You lost someone you loved unconditionally and who gave that back in return. You're normal...you knew her your entire life...and a life time of memories/love can't be grieved and stopped in a matter of days.
Your Normal, I'm normal and so is everyone who has lost someone they love and can't stop the tears at the end of a funeral.
IMO...Nanas are the greatest!!!