Prepare an ice bath in a large bowl. Fill a large pot about halfway with water and bring to a boil. Lower to a gentle simmer and add the broccoli florets and green beans. Let simmer for 2 – 3 minutes, until bright green. Using a slotted spoon, immediately remove the greens and place in the prepared ice bath for 2 minutes.
In a large skillet, heat the olive oil over medium-low heat until shimmering. Add the garlic and cook until just beginning to golden (do not let brown). Using a slotted spoon, transfer the greens from the ice bath to the skillet. Add the zest and sauté for 2 minutes. Off the heat and sprinkle with cheese. Season with salt and pepper to taste.