Preheat your oven to 375°F (190°C).
In a small bowl, mix together the minced garlic, chopped rosemary, olive oil, salt, and black pepper to create a paste.
Pat the beef roast dry with paper towels. Rub the garlic and rosemary mixture all over the roast, ensuring it is well coated.
Heat a skillet over medium-high heat. Sear the roast in the skillet until browned on all sides, about 3-4 minutes per side.
Transfer the roast to a roasting pan. Pour the beef broth into the pan around the roast to keep it moist during cooking.
Insert a meat thermometer into the thickest part of the roast, avoiding any bones.
Roast in the preheated oven for about 1 hour and 15 minutes, or until the internal temperature reaches 135°F (57°C) for medium-rare, or up to 160°F (71°C) for well-done.
Once the roast is done, remove it from the oven, cover it loosely with aluminum foil, and let it rest for 15 minutes before slicing.
Slice the roast and serve with the juices from the roasting pan. Garnish with additional rosemary sprigs if desired.