Sift the gluten free flour, sugar, and salt. Whisk the yeast, milk, and eggs together and add to the dry ingredients. Mix until a dough forms. Beat in the softened butter and mix until smooth. Scrape the dough together at the bottom of the bowl. Cover and let it rest for 30 minutes.
Preheat oven to 350℉. On a lightly floured surface, roll the dough into a long log. Divide into 16 pieces and shape each piece into a small loaf. Transfer the dough to a baking sheet and brush with egg wash (1 egg yolk + 1 tablespoon water). Bake for 25-30 minutes, or until golden brown.