Prepare the berries: Wash and hull the strawberries. Combine all berries in a bowl.

Make the syrup: In a small saucepan, combine sugar and water. Heat over medium until sugar dissolves, then let cool.

Blend the mixture: Add berries, syrup, lemon juice, and vanilla extract to a blender. Blend until smooth.

Strain the mixture: Pour the blended mixture through a fine-mesh sieve to remove seeds, pressing with a spoon.

Chill the mixture: Transfer the strained mixture to a bowl and refrigerate for at least 1 hour.

Freeze the sorbet: Pour the chilled mixture into an ice cream maker and churn according to manufacturer's instructions.

Serve or store: Transfer the sorbet to an airtight container and freeze for 2 hours before serving.