Preheat your oven to 400°F (200°C) and line a large rimmed baking sheet with parchment paper.
In a small mixing bowl, combine the extra virgin olive oil, minced garlic, dried rosemary, dried thyme, sea salt, and black pepper to create a paste.
Pat the beef top sirloin dry with a paper towel and rub the garlic-herb mixture evenly over all sides of the meat.
Place the seasoned beef on one side of the prepared baking sheet and arrange the broccoli florets on the other side.
Toss the broccoli with any remaining herb oil from the bowl or a tiny extra drizzle of oil if needed to ensure they are lightly coated.
Roast in the center of the oven for 15 to 20 minutes, or until the beef reaches an internal temperature of 145°F for medium-rare and the broccoli is tender with charred edges.
Remove from the oven and let the beef rest for 5 minutes before slicing it against the grain.
Drizzle the fresh lemon juice over both the beef and broccoli just before serving to brighten the flavors.