It a pineapple quilt. Here's a link to a pattern just for comparison.
https://www.amazon.com/Tropical-Frui.../dp/B01LZ3HYP6
You could also just search for pineapple quilt. It's an old pattern and has been around forever. It's on my bucket list to do.
I think you might want to have it evaluated for restoration but I'm not an expert and have no idea who could do that. I bet there are ladies here who either do it or know someone who does.
Thanks for sharing it. I love it. Your grandmother did a great job!