Preheat your oven to 400°F (200°C).
Scrub the potato, prick it several times with a fork, and place it directly on the oven rack to bake for 45-50 minutes until tender.
While the potato bakes, pat the chicken breast dry with a paper towel.
In a small bowl, mix 1 teaspoon of olive oil with the rosemary, thyme, garlic powder, salt, and pepper.
Rub the herb mixture evenly over the chicken breast to coat all sides.
Place the chicken in a small baking dish and roast in the oven during the last 20-25 minutes of the potato's cooking time, or until the internal temperature reaches 165°F.
Steam the broccoli florets in a steamer basket over boiling water for 4-5 minutes until bright green and tender-crisp.
Slice the baked potato open, drizzle with the remaining teaspoon of olive oil, and serve alongside the roasted chicken and broccoli.