Preheat oven to 350°F (175°C).
In a mixing bowl, cream together butter and sugar until light and fluffy.
Beat in the egg and vanilla extract.
In another bowl, whisk together gluten-free flour, baking soda, and salt.
Gradually add the dry ingredients to the wet ingredients, mixing until combined.
Fold in the chocolate chips.
Drop spoonfuls of dough onto a baking sheet and flatten slightly.
Bake for 10-12 minutes or until edges are golden brown. Let cool completely.
Scoop softened ice cream onto one cookie and top with another cookie to make a sandwich.
Freeze for at least 1 hour before serving.