Prepare Strawberry Filling: In a saucepan, combine strawberries, granulated sugar, and lemon juice. Cook until thickened, about 10 minutes, then blend until smooth and chill.

Make Brioche Dough: In a stand mixer, combine flour, sugar, salt, and yeast. Gradually add warm milk, butter, and egg. Knead for 5-7 minutes until smooth and slightly tacky.

First Rise: Transfer dough to a greased bowl, cover, and let rise in a warm place for about 2 hours or until doubled in size.

Roll Dough: Punch down and roll out dough into a rectangle. Spread filling evenly, then roll tightly and slice into 12 rolls.

Second Rise: Place rolls in a greased baking dish and let rise for 30-60 minutes. Preheat oven to 350°F (180°C).

Bake Rolls: Bake rolls for 20-25 minutes until golden brown.

Prepare Glaze: Beat together cream cheese, butter, powdered sugar, vanilla, and strawberry puree until smooth.

Glaze Rolls: Let rolls cool slightly, then generously spread the glaze on top before serving.