Follow these step-by-step instructions to create a delectable blueberry cheesecake:

1. Preheat the Oven:
   Preheat your oven to 325°F (160°C).
2. Prepare the Crust:
   In a medium-sized bowl, mix the graham cracker crumbs with the melted butter until well combined. Press the mixture firmly into the bottom of a 9-inch springform pan to form an even crust.
3. Make the Cream Cheese Filling:
   In a large mixing bowl, beat the softened cream cheese, sugar, and vanilla extract together until smooth and creamy. Add the eggs one at a time, mixing well after each addition to ensure a smooth consistency.
4. Incorporate Sour Cream and Cornstarch:
   Gently fold the sour cream and cornstarch into the cream cheese mixture until well combined. Carefully add the fresh blueberries, ensuring they are evenly distributed throughout the mixture.
5. Pour the Mixture Over the Crust:
   Pour the cream cheese and blueberry mixture over the prepared crust in the springform pan, spreading it evenly with a spatula.
6. Bake the Cheesecake:
   Place the cheesecake in the preheated oven and bake for 50-60 minutes, or until the center is set. A slight jiggle in the center is normal and will firm up as it cools.
7. Cool and Chill:
   Remove the cheesecake from the oven and let it cool to room temperature. Once cooled, refrigerate the cheesecake for at least 4 hours, or preferably overnight, to allow it to set completely.