01 - Preheat oven to 425°F. Line a baking sheet with parchment paper if desired.
02 - In a small bowl, combine 3 tbsp olive oil, minced garlic, chopped rosemary, thyme, kosher salt, and black pepper. Rub the mixture evenly over both sides of each steak. Let steaks rest at room temperature for 15 minutes to absorb the flavors.
03 - Toss the trimmed broccolini with 2 tbsp olive oil, ½ tsp kosher salt, and ¼ tsp black pepper until evenly coated. Spread in a single layer on the prepared baking sheet.
04 - Roast broccolini for 15 to 18 minutes, tossing halfway through, until crisp-tender with lightly charred edges.
05 - While the broccolini roasts, heat a large cast-iron skillet over medium-high heat. Sear steaks for 3 to 4 minutes per side for medium-rare doneness. Add 1 tbsp butter to the pan during the last minute and baste the steaks with the melted butter.
06 - Transfer steaks to a cutting board and top each with a small pat of the remaining butter. Allow to rest for 5 minutes so the juices redistribute.
07 - Arrange steaks and broccolini on serving plates. Sprinkle broccolini with lemon zest and serve with lemon wedges alongside. Finish with flaky sea salt to taste.