01 - Combine blueberries, sugar, and lemon juice in a small saucepan. Cook over medium heat for 5–7 minutes, stirring frequently, until berries burst and mixture thickens. Remove from heat and cool completely.
02 - Beat cream cheese in a large bowl until smooth. Add sugar, lemon zest, lemon juice, vanilla, and salt. Mix until well combined.
03 - Gradually whisk in milk until smooth. Add heavy cream and whisk until fully incorporated and no lumps remain.
04 - Transfer mixture to ice cream maker and churn according to manufacturer's instructions, typically 20–25 minutes, until soft-serve consistency is achieved.
05 - Gently fold graham cracker crumbs into churned ice cream. Transfer half to a freezer-safe container, spoon half the blueberry swirl over top, and lightly swirl with a knife. Repeat with remaining portions.
06 - Cover container and freeze for at least 6 hours or until firm throughout.
07 - Let ice cream sit at room temperature for 5–10 minutes before scooping to achieve optimal texture.