Preheat the oven to 350 degrees F.
Line a 9-inch round cake pan with parchment. Brush the bottom and sides with olive oil.
Place sugar, olive oil, eggs, yogurt, lemon juice, lemon zest, and vanilla extract in a large bowl and whisk until well combined.
Place a fine mesh sieve directly over the bowl, and sift in dry ingredients (flour, baking powder, baking soda, and salt).
Whisk in dry ingredients until well combined.
Pour the cake batter into the prepared cake pan. Smooth the top with an offset spatula.
Top the batter with fresh mulberries. Don't press the mulberries into the battery.
Sprinkle sliced almonds on top followed by demerara sugar.
Bake for 38-40 minutes until golden brown or a toothpick inserted in the middle comes out clean. Let the cake cool in the pan.
When ready to serve, cut the cake into 8 pieces.