In the bowl of a stand mixer, cream the butter and brown sugar on medium speed. Mix in the egg and lemon extract until smooth.
Add the pudding mix, baking soda, and salt. Mix until combined. Add the flour. Mix again until well combined. Scrape down the sides of the mixing bowl as needed.
Add the white chocolate chips and mix on medium-high speed until they are distributed throughout the cookie dough.
Line a baking sheet with parchment paper. Scoop 2 tbs balls of dough onto the cookie sheet. Cover and chill for at least 1 hour. Yes, this step is necessary.