Preheat your oven to 400°F (200°C) and line a baking sheet with parchment paper for easy cleanup.
Place the broccoli florets on the baking sheet and toss with 0.5 tbsp of olive oil, half of the minced garlic, and a pinch of salt and pepper.
Roast the broccoli for 15-20 minutes until the edges are slightly charred and the stems are tender.
While the broccoli roasts, season the chicken breast on both sides with the rosemary, thyme, and the remaining salt and pepper.
Heat the remaining 0.5 tbsp of olive oil in a large skillet over medium-high heat.
Place the chicken in the skillet and sear for 5-7 minutes per side, or until the internal temperature reaches 165°F and the surface is golden brown.
During the last 2 minutes of cooking, add the remaining garlic, lemon zest, and lemon juice to the pan, spooning the pan juices over the chicken to baste it.
Remove from heat and serve the chicken immediately with the roasted broccoli on the side.