Preheat your oven to the recommended temperature and grease an 8x8-inch baking pan with cooking spray or line it with parchment paper.
In a large mixing bowl, combine the melted butter, granulated sugar, eggs, and vanilla extract. Mix until well combined.
Sift the cocoa powder, gluten-free flour blend, and salt into the wet mixture. Stir until you have a smooth and thick brownie batter.
In a separate bowl, beat the softened cream cheese and powdered sugar until it becomes smooth and creamy.
Add the cream cheese mixture to the brownie batter and gently swirl it in, creating a marbled effect.
Pour the batter into the prepared baking pan, spreading it evenly.
Bake the gluten-free cream cheese brownies in the preheated oven for the recommended time or until a toothpick inserted into the center comes out with a few moist crumbs.
Once baked, remove the pan from the oven and let it cool completely before cutting the brownies into squares.
Serve and enjoy these delicious gluten-free cream cheese brownies!