Preheat your oven to 325° F.
In the bowl of a stand mixer fitted with the paddle attachment, cream the softened butter and powdered sugar together until smooth. Scrape down the sides of the bowl as needed. Add the almond extract and vanilla bean paste, mixing until fully combined.
Add the gluten-free flour, almond flour and salt. Mix until the dough comes together and no dry spots remain. Be sure to scrape the bottom of the bowl to ensure everything is well incorporated.
Portion the dough into 2-inch balls and place them on a baking sheet lined with parchment paper. Flatten each ball slightly with your palm to create a cookie about ½-inch thick with a flat top.
Bake for 12 minutes, rotating the sheet halfway through to ensure even baking.
As soon as the cookies are out of the oven, gently press the back of a spoon into the center of each to form a small divot.
Fill each divot with the blueberry compote, about 2 teaspoons full, and return the cookies to the oven for an additional 2–3 minutes, allowing the filling to set.
Once out of the oven, top with toasted, chopped almonds for garnish.
Allow the cookies to cool completely before serving. Makes about 1 dozen.