Skillet Cheesesteak With Broccoli Rabe

Name: Skillet Cheesesteak With Broccoli Rabe
Ingredients: 1 lb. boneless New York strip steak, patted dry; Kosher salt, freshly ground pepper; 1 Tbsp. extra-virgin olive oil, plus more; 3 garlic cloves, thinly sliced; 1 bunch broccoli rabe (about 1 lb.), cut into 1–2 pieces; ⅓ cup thinly sliced drained Peppadew peppers in brine; 2 tsp. finely grated lemon zest; 3 oz. pepper Jack, coarsely grated; 1 Tbsp. fresh lemon juice