01 - Preheat the oven to 350°F. Line two baking sheets with parchment paper.
02 - In a large bowl, whisk together flour, sugar, baking soda, and salt until evenly distributed.
03 - In a separate bowl or measuring jug, whisk olive oil, lemon zest, lemon juice, non-dairy milk, and vanilla extract until well combined.
04 - Pour the wet mixture into the dry ingredients. Stir with a spatula until just combined and a soft dough forms. Avoid overmixing to prevent tough cookies.
05 - Scoop tablespoon-sized portions of dough and roll into balls. Roll each ball in granulated sugar to coat completely.
06 - Place the dough balls on the prepared baking sheets, spacing them about 2 inches apart. Gently flatten each ball with your fingers or the bottom of a glass.
07 - Bake for 11 to 13 minutes, until edges are lightly golden. Centers will still appear soft but will set upon cooling.
08 - Let cookies cool on the baking sheet for 5 minutes, then transfer to a wire rack to cool completely before serving.