Preheat oven to 350 degrees F and line an 8x4 loaf pan with parchment paper, set aside.
In a medium sized bowl whisk together flour, baking powder and salt. Set aside.
In the bowl of an electric mixer, add sugar and grapefruit zest. Work together with your fingers until the sugar is fragrant.
To the sugar, add eggs, vegetable oil and vanilla bean paste. Mix for 4 minutes until thick and light in color.
With the mixer on low, add half of the dry ingredients and mix until combined.
Add in Greek yogurt and mix until it comes together.
Add the remaining dry ingredients with 5 tablespoons of grapefruit juice and poppy seeds. Mix just until the batter comes together and is fully incorporated.
Add batter to the prepared loaf pan and bake for 50-60 minutes or until the cake is golden brown and a tester inserted into the center comes out clean.
Using a long toothpick poke holes into the cake and brush the remaining grapefruit juice over the cake.
Let sit for 15 minutes, remove cake (by lifting up the parchment paper) out of the loaf pan and set on a cake rack. Carefully remove the parchment paper from the sides of the cake and let cool completely.
Once the cake has cooled drizzle the top with Greek yogurt glaze and a sprinkling of poppy seeds if desired.