Bring a pot of water with a steamer insert (or that will fit a steamer basket of some type) to a boil. While the water is heating, cut the broccoli into florets. Cut the woody bottom of the stalk off and discard; peel the remaining upper stalk and slice into 1/8-inch thick slices.
Place the florets and stalk slices in the steamer to steam for 3-4 minutes.
While the broccoli is steaming, heat the oil over medium-high heat in a large skillet. Add the garlic and ¾ of the lemon zest; sauté allowing the oil to become fragrant (1-2 minutes).
Add the broccoli and toss to coat. Drizzle the lemon juice over the broccoli, toss, and remove from heat. Add to a serving bowl and sprinkle the remaining lemon zest on top.