Preheat the oven to 400F (200C) and line a baking sheet with parchment paper.
In a small bowl, whisk together the egg and milk. Set aside.
Roll the dough out on a floured surface to cut out a 12” (30cm) disk with leftovers around the edge.
Place the dough disk on the prepared baking sheet. Fold the edges over, overlapping slightly to create a border. Alternatively, cut out small circles from the dough leftovers and attach them around the edges using the egg wash, slightly overlapping.
Prick the middle of the galette with a fork to prevent air bubbles.
Sprinkle one tablespoon of sugar on top, avoiding the edges.
Arrange sliced pears on top of the sugar and nuts. Sprinkle the second tablespoon of sugar and the walnuts on top of the pear slices.
Brush the border of the galette with the egg wash.
Bake for 25 minutes or until the edges turn golden brown. Remove from the oven and add the cheese. Place back into the oven for one extra minute or until the cheese starts melting.
Remove from the oven and let cool down until just warm. Drizzle the galette with honey, then slice and serve.