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

Heat lightly oiled large skillet over high; cook burgers with salt/pep 3 min on one side; flip over; cook 2 min; then add 1 slice cheese to each burger; cover pan + cook 1-2 min more until cooked through + cheese has melted

Toast 2 buns until warm + golden

Assemble burgers + divide between plates with broccoli—that looks great!