To make this Strawberry Icebox Cake gluten-free. Simply substitute the Lorna Doone cookies. With your favorite gluten-free shortbread cookies. Ensure that all other ingredients. Such as the instant pudding mix. And Cool Whip. Are certified gluten-free. This simple swap. Allows you to enjoy. The same delicious layers of creamy filling, fresh strawberries, and cookie goodness. Without any gluten. The cookies will still soften beautifully. Creating a cake-like texture. That’s perfect for this no-bake dessert. Enjoy a delightful, gluten-free treat. That everyone will love!