Preheat oven to 375 degrees F. Grease an 8x8 pan with cooking spray and set aside.
In a medium bowl, combine almond milk, ground flaxseeds, melted butter, and vanilla. Stir well, and set aside.
. In a large bowl, mix cornmeal, gluten-free flour, baking powder, cinnamon, nutmeg, ginger, and salt.
Add the almond milk mixture and stir well to combine. Fold in the pumpkin puree and mix well.
Scoop the batter into the prepared baking pan and spread evenly, bake for 30-35 minutes or until a toothpick inserted into the center comes out clean.
Cool for about 5 minutes; remove from the pan onto a cooling rack. Serve immediately.