Bring a large pot of water to a boil. Break the squash on the ground. Wash the squash pieces and remove the seeds from the center, using your hands. Place the squash pieces in the boiling water and cook until the skin comes apart.
Remove from the water and place in an ice bath. Using your hands, separate the skin from the flesh and discard any seeds. Remove the flesh and place in shallow bowl. Again with your fingers, separate the flesh into threads. Rinse the threads under cool water and drain well.
In a saucepan, over medium heat, combine the sugar and water. Bring to a boil and cook until the mixture is thick. Add the squash and continue to cook until the entire mixture is thick and most of liquid has evaporated Remove from the heat and pour into a bowl and cool completely.