Preheat the oven to 350℉. Grease a loaf pan or cake pan and line the bottom with parchment paper.
In a large bowl, rub the zest of 1 grapefruit into the 1 cup granulated sugar. Whisk in the ½ cup plain full-fat yogurt and 3 large eggs, stirring and whisking until well blended. Add the1 ¾ cups gluten free flour and ¼ cup almond flour, 2 teaspoons baking powder, and ¼ teaspoon fine sea salt, mixing just to combine. Add the ½ cup olive and stir well to incorporate. Keep stirring until it forms a smooth batter. Pour and scrape the batter into the prepared pan.
Rest the batter while the oven heats, then place in the oven and bake for 30-40 minutes until a toothpick inserted into the center comes out clean. Do not overbake.
Cool cake on a rack for about 20 minutes; then turn it out of the pan to cool completely.
When the cake is thoroughly cooled, juice the 2-3 tablespoons grapefruit juice into a bowl and whisk in the sifted 1 cup powdered sugar. Then, evenly spoon the glaze over the top of the cake; it will soak right in.
Notes
Choose your pan. I used a standard-size loaf pan to bake my cake, and I also love using a bundt pan for a more decorative option. The batter also bakes up beautifully in a round 8 or 9-inch cake pan.
What type of yogurt? I prefer plain whole-milk yogurt (not Greek yogurt) in this cake. For a little extra flavor, you could use vanilla yogurt. You could also use low-fat yogurt, but I would not use non-fat because you'll lose out on the richness from the higher-fat yogurt.
Sift the powdered sugar. To keep the glaze gloriously smooth, make sure to sift the powdered sugar before mixing it with the grapefruit juice.
Add vanilla extract. In keeping with the simple spirit of this recipe, I don't add vanilla extract to the batter. But, if you wish, add 1 teaspoon of vanilla extract.
Try another citrus. Use this base recipe as your jumping-off point for other citrus flavors, like orange or lime.
Skip the glaze. For a less sweet, more rustic loaf, leave off the glaze. It will still be very delicious.