Preheat your oven to 325°F to ensure a gentle and even roast for the lean beef.
Pat the beef roast dry with paper towels and rub the surface with 0.5 tablespoon of olive oil, sea salt, black pepper, rosemary, and thyme.
Heat a large oven-safe skillet or cast-iron pan over medium-high heat and sear the beef for 2-3 minutes per side until a deep brown crust forms.
Remove the skillet from heat and arrange the sliced carrots and trimmed green beans around the beef, drizzling the vegetables with the remaining 0.5 tablespoon of olive oil.
Place the skillet in the oven and roast for approximately 45 minutes, or until the internal temperature of the beef reaches 135°F for medium-rare.
Transfer the beef to a cutting board and let it rest for 10 minutes to allow the juices to redistribute.
While the beef rests, place the skillet back on the stovetop over medium heat, add the minced garlic and beef broth, and simmer for 3-4 minutes while scraping up the browned bits.
Thinly slice the beef against the grain and serve alongside the roasted vegetables with the garlic-herb pan sauce drizzled over the top.