Preheat the oven to 350°F (175°C) and line a baking pan with parchment paper.
In a saucepan, melt the butter over medium heat, stirring constantly until it turns golden brown with a nutty aroma.
Remove the saucepan from heat and let the brown butter cool slightly before transferring to a mixing bowl.
Add both sugars to the brown butter and mix until well combined and the mixture is smooth.
Add the eggs, one at a time, mixing well after each addition, then stir in the vanilla extract.
In a separate bowl, whisk together the flour, baking soda, and salt.
Gradually add the dry mixture to the wet ingredients, stirring gently until just combined.
Fold in the dark chocolate chips and dried cherries until evenly distributed throughout the batter.
Pour the batter into the prepared baking pan and smooth the top evenly with a spatula.
Bake for 25–30 minutes or until the edges are golden brown and a toothpick inserted in the center comes out with a few moist crumbs.
Allow to cool in the pan for 10 minutes before transferring to a wire rack to cool completely.
Once completely cool, slice into squares and enjoy your Brown Butter Cherry Chocolate Blondies!