To prepare galette, line a jelly roll pan with foil, and coat foil with cooking spray. Roll dough into an 11-inch circle; place on baking sheet. Sprinkle crust with cheese, leaving a 1-inch border.
Combine pears, juice, and nutmeg in a large bowl; toss well. Add brown sugar and flour; toss gently. Arrange fruit on dough leaving a 2-inch border. (Pears will be piled high on dough.) Fold edges of dough toward center, pressing gently to seal (dough will only partially cover pears). Bake at 400° for 30 minutes or until crust is lightly browned (filling may leak slightly during cooking). Cool galette on a wire rack.
To prepare caramel, heat granulated sugar in a small heavy saucepan over medium heat until sugar dissolves, stirring as needed to dissolve sugar evenly (about 4 minutes). Cook 1 minute or until golden. Remove from heat. Drizzle over galette.