Preheat the oven to 350 degrees F. Line a 9-inch springform pan with parchment paper and grease the sides. Set it aside.
In a medium bowl, combine cake flour, cocoa powder, baking powder, baking soda, and salt. Set it aside.
In a large bowl, combine sugar, egg, and egg yolks. Beat until light and creamy using a hand mixer.
Add yogurt, milk, vanilla extract, and oil. Beat until just combined.
In a microwave-safe bowl, melt ⅓ cup chocolate chunks and add it to the wet mixture once cooled down.
Gradually add the flour mixture in batches, mixing on low speed until well combined.
Pour the cake batter over the prepared cake pan.
Meanwhile, peel the skin off the pears, remove the core, and slice them (not too thick or thin). Arrange them over the cake batter.
Sprinkle the remaining chocolate chunks over the top. Place the cake pan in the oven and bake for 50-55 minutes until a toothpick inserted in the center comes out clean.
Once done, allow the cake to cool for 15 minutes on a wire rack. Slowly release the springform pan sides and remove it.
Slice and serve the chocolate pear cake to enjoy.