Preheat the oven to 325°F.
Mix the graham cracker crumbs, 1/3 cup white sugar, and melted butter in a bowl.
Press the mixture into the bottom of a 9-inch springform pan. Beat the cream cheese and 1 cup of white sugar in a separate bowl until smooth.
Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract and sour cream.
Pour the cheesecake mixture over the crust and smooth out the top. Bake for 55-60 minutes or until the cheesecake is set.
Cook the blueberries and water in a saucepan over medium heat for 10 minutes, stirring occasionally.
Mash the blueberries with a fork, leaving some whole. Pour the blueberry mixture on top of the cooled cheesecake.
Chill the cheesecake in the refrigerator for at least 4 hours or overnight before serving.