Preheat your oven to 400°F and line a baking sheet with parchment paper for easy cleanup.
Pat the chicken breast dry with a paper towel, then rub with 0.5 tbsp of olive oil and coat evenly with garlic powder, thyme, rosemary, salt, and pepper.
Place the chicken on the prepared baking sheet and roast for 20-25 minutes, or until the internal temperature reaches 165°F.
While the chicken roasts, bring a pot of lightly salted water to a boil on the stove.
Add the sliced carrots to the boiling water and cook for 4 minutes.
Add the broccoli florets to the same pot and continue boiling for an additional 3 minutes until both vegetables are fork-tender.
Drain the vegetables and toss them with the remaining 0.5 tbsp of olive oil and a pinch of extra salt if desired.
Slice the rested chicken and serve immediately alongside the warm, colorful vegetables.