Place berries in an even layer in a 9-inch pie plate or divide among 4 individual gratin dishes. Whisk together cream cheese, milk and lemon juice in a small bowl. Spread over the berries, leaving the outer edge uncovered. Set aside in the refrigerator for up to 1 hour.
Preheat the broiler. Press sugar through a coarse sieve over the berries, covering them evenly. Broil until the sugar has melted, about 4 minutes. Serve immediately.