Add the chopped strawberries, sugar, and lemon juice to a saucepan. Bring the mixture to a boil, and simmer for 5-10 minutes. Use a fork or potato masher to crush the strawberries once they have cooked down. Remove from the heat and let it cool.
Preheat oven to 350º F. Line a 9-inch baking dish with parchment paper or grease well.
Mix together graham cracker crumbs, sugar, and melted butter until well combined. Press into the base of the prepared baking pan.
1 ½ cups graham cracker crumbs, 6 Tablespoons melted butter, ¼ cup granulated sugar
Using an electric mixer, beat together cream cheese and sugar until smooth and creamy. Beat in the eggs one at a time to completely incorporate. Add in the vanilla and mix until smooth and everything is combined.
2 (8-ounce) packages of cream cheese, 1/3 cup granulated sugar, 2 whole large eggs, 1 teaspoon vanilla extract
Pour cheesecake mixture over the graham cracker crust.
Dollop about ½ of the strawberry mixture over the top of the cheesecake layer. Using a knife to swirl.
Bake for 30-35 minutes until the bars are set and the edges are lightly golden. Remove from the oven and let cool for 30 minutes, then place in the fridge to chill completely before serving.
To serve, slice and top with the remaining strawberry mixture if desired.