Preheat your oven to 350°F.
Grease a 9x5-inch loaf pan with olive oil or baking spray, then line the bottom and two sides with parchment paper, leaving a slight overhang.
In a medium bowl, whisk together the flour, baking powder, baking soda, and salt.
In a separate large bowl, whisk the Greek yogurt, sugar, eggs, olive oil, and vanilla extract until smooth.
Gently add the dry ingredients into the wet ingredients, stirring with a rubber spatula just until no streaks of flour remain.
Pour the batter into the prepared pan and smooth the top.
Bake for 50 to 55 minutes, or until a toothpick inserted into the center comes out clean.
Let the cake cool in the pan for 10 minutes, then use the parchment paper to lift it onto a wire rack to cool completely.
Once cooled, dust the top with powdered sugar, slice, and serve with a dollop of sweetened yogurt and fruit.