Preheat your oven to 325°F (160°C).
In a mixing bowl, combine graham cracker crumbs, granulated sugar, and melted butter. Mix until well combined.
Press the mixture firmly into the bottom of a greased 9x9-inch baking dish.
Bake the crust for 10 minutes, then set aside to cool.
In a large bowl, beat the softened cream cheese with powdered sugar until smooth.
Add in the eggs, fresh lemon juice, and lemon zest; mix until well blended.
Gently fold in half of the fresh raspberries into the cream cheese mixture.
Pour the cream cheese mixture over the cooled crust, spreading evenly.
Drop spoonfuls of the remaining raspberries on top and swirl lightly with a knife.
Bake for 25-30 minutes or until the edges are set but the center still has a slight jiggle.
Cut into squares and serve chilled.