Preheat the oven to 350 F. In a medium bowl, whisk together flour, oats, salt, and baking soda. In a large bowl, mix butter with peanut butter, granulated sugar, and brown sugar until fluffy.
Add in the egg and vanilla extract and mix until smooth. Fold in the Reese's pieces and chocolate chips. Press the cookie dough evenly into a greased 8-inch square baking dish. Bake for 20-25 minutes.