Heat 1 tbsp oil in skillet over med-high; add broccoli, salt/pep + sauté 4-5 min until lightly browned; add 2 tbsp water, reduce heat, cover + steam 3-5 min more until tender; set aside

Meanwhile, heat 1 tbsp oil in a large skillet over high; cook burgers with salt/pep 1-2 min per side, then add 1 slice of cheese to each burger; cover pan + cook 1-2 more min until cooked through + cheese has melted

Toast 2 buns until warm + golden, add patties to buns; divide between plates along with broccoli—looks great!