Trim the bottom part of the broccolini stems by about 1/2 inch (1 cm).
Heat a skillet over medium heat and add the butter. Sauté the garlic until it turns light brown, then add the broccolini. Toss with a spatula to combine well with the garlic.
Add salt and ground black pepper to taste, along with a few squirts of lemon juice. Once the stems of the broccolini become tender, remove from heat and serve immediately.