Preheat your oven to 350°F (175°C). Grease a loaf pan.
In a mixing bowl, combine flour, baking powder, baking soda, and salt.
In another bowl, beat together sugar, oil, eggs, and vanilla extract until smooth.
Stir in the grated zucchini.
Gradually add the dry ingredients to the wet ingredients, mixing just until combined.
Gently fold in the blueberries.
Pour the batter into the prepared loaf pan.
Bake for about 60 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.