Preheat oven to 350 degrees °F. Line a 9x5 loaf pan with parchment paper (or spray with nonstick baking spray). Set aside.
In a large mixing bowl, combine sugar and lemon zest. Pinch together until the sugar becomes fragrant and takes on a pale yellow color. Then add olive oil and whisk together for about 1 minute. Add eggs, sour cream, lemon extract, vanilla extract, and whole milk. Continue to mix for another minute, until combined and smooth. 1 cup + 3 tbsp Sugar2 tbsps Lemon Zest3/4 cup + 1 tbsp olive oil4 large Eggs1/2 cup Sour Cream2 tsps Lemon Extract1 tsp Vanilla Extract1/4 cup Whole Milk
Add the dry ingredients into the wet ingredients - all purpose flour, baking powder, baking soda, and kosher salt. 2 cups All-Purpose Flour1 tsp Kosher Salt1 1/2 tsp Baking Powder1/8 tsp Baking Soda
Pour batter into the loaf pan and bake for 55 minutes to 1 hour, until a toothpick inserted into the center of the loaf comes out with just a few moist crumbs (not wet batter).
While cake is baking, make the lemon simple syrup. Combine water and sugar in a small saucepan over low heat. Cook for 3-4 minutes, until the sugar is just dissolved, then remove from the heat and add lemon juice. Stir together and set aside to cool. 1/3 cup Water1/3 cup Sugar2 tbsp Lemon Juice
Fresh out of the oven, pour the lemon simple syrup on top of the lemon loaf. Let it cool in the pan for 15 minutes, then turn over onto a wire rack to cool completely.
Then make the glaze by combining melted butter, confectioners' sugar, and lemon juice together in a bowl. Whisk together and pour on top of the cooled loaf. 2 tbsp Salted Butter1 1/2 cups Confectioners' Sugar2 tbsp Lemon Juice
Notes
Use a high quality olive oil! This is key to the best flavor. A lot of olive oils have a stale, almost oily flavor. Good olive oil should have grassy, fruity notes. Some of my favorites are Corto Olive Oil and California Olive Ranch!
For the lemon syrup, use lemon juice from the lemons zested for the cake batter.
If the top is browning too quickly, loosely tent the loaf with foil during the last 10 to 15 minutes of baking to protect the crust from burning while the center finishes baking.
If you can find meyer lemons, use those for a more floral, sweet, and fresh lemon flavor. Regular lemons are awesome, but meyer lemons offer a slightly different lemony flavor (think mandarin oranges mixed with lemon).
Greek Yogurt can be used in place of sour cream if that's what you have on hand!