Preheat your oven to 400°F (200°C) and line a large baking sheet with parchment paper.
Peel the sweet potato and cut it into small, even cubes for consistent roasting.
In a mixing bowl, toss the sweet potato cubes with half of the olive oil, minced garlic, and a pinch of salt and pepper.
Rub the turkey breast with the remaining olive oil, dried rosemary, and dried thyme until evenly coated.
Place the turkey breast and the seasoned sweet potatoes onto the prepared baking sheet, ensuring they are in a single layer.
Roast in the oven for 25 to 30 minutes, or until the turkey reaches an internal temperature of 165°F and the potatoes are tender and lightly browned.
While the turkey and potatoes roast, steam the broccoli florets in a steamer basket over boiling water for 5 to 7 minutes until they are bright green and fork-tender.
Remove the turkey from the oven and let it rest for 5 minutes before slicing.
Serve the sliced herb turkey alongside the garlic sweet potatoes and steamed broccoli.