Preheat the oven to 350 degrees Fahrenheit. Spray a 9 x 5-inch loaf pan with nonstick cooking spray and, if desired, line with parchment paper for easier removal.
In a large bowl, combine 2 cups + 1 tablespoon all-purpose flour 1 cup granulated sugar, 1 teaspoon baking soda, and ½ teaspoon salt.
In another bowl, whisk together 1 cup buttermilk, 1 large egg, and ¼ cup canola oil. Stir into the flour mixture until fully combined.
Toss 1 ½ cups fresh strawberries, into the remaining 1 tablespoon of flour until they are evenly coated. Gently fold the berries into the batter.
In a small bowl combine 1½ cup granulated sugar and 1 tablespoon ground cinnamon. Spread half of the batter into the bottom of the prepared pan. Sprinkle with half of the cinnamon sugar. Carefully spread the remaining batter on top, followed by the remaining cinnamon sugar. Gently swirl with a butter knife.
Bake for 45-50 minutes or until toothpick in center comes out clean. Cool 10 minutes before removing the bread from pan. Cool completely on a cooling rack.
Make the glaze by combining ½ cup powdered sugar and 1 ½ to 2 teaspoons milk, then drizzle over the cooled bread. Slice and serve.