Rinse the broccolini well and pat it dry with paper towels or a clean kitchen towel. Cut off the bottom third of the broccolini stems and discard.
Heat up a skillet on medium heat and add the butter. Saute the garlic until they turn light brown before adding the broccolini. Toss with a spatula to combine well with the garlic.
Add salt and ground black pepper, to taste. Add a few squirts of lemon juice. Once the stems of the broccolini become tender, remove from heat and serve immediately.