Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a mixing bowl, combine the flour, sugar, baking powder, baking soda, and salt.
In another bowl, whisk together the buttermilk, egg, and melted butter.
Pour the wet ingredients into the dry ingredients and stir until just combined. Fold in the shredded cheese.
Pour the batter into the prepared loaf pan and smooth the top.
Bake for 45 minutes, or until a toothpick inserted into the center comes out clean.
Let the bread cool in the pan for 10 minutes, then transfer to a wire rack to cool completely.