Set a rack to the center of the oven and preheat to 350°F.
Whisk together the eggs. Add the yogurt and sugars and mix well. Whisking constantly, gradually drizzle in the olive oil to create a smooth emulsion.
Add in the flour, baking powder and salt. Whisk until smooth. Add in the lemon zest and ginger and mix again, set aside.
In another bowl, toss the blueberries with the sugar, lemon zest, lemon juice and ginger.
To a greased 9-inch round cake pan, layer the bottom with parchment paper. Layer the blueberries out in an even layer, pressing them as closely together as possible so the batter doesn't break through.
Gently pour in the batter. Bake for 50-55 minutes at 350°F or utnil you can insert a toothpick and it comes out clean.
Let the cake cool before flipping to reveal the top. Gently pull off the parchment paper and sprinkle the ginger sugar over top. Rub it gently into the berries to let it melt in.
Top with more lemon zest and serve.