Preheat your oven to 400°F and line a baking sheet with parchment paper.
Toss the broccoli florets with half of the olive oil, minced garlic, salt, and pepper, then spread them in a single layer on the baking sheet.
Roast the broccoli for 15 to 20 minutes until the edges are slightly charred and tender.
While the broccoli roasts, season the turkey breast with dried oregano, salt, pepper, and the remaining olive oil.
Heat a grill pan or outdoor grill over medium-high heat and cook the turkey for 5 to 7 minutes per side until the internal temperature reaches 165°F.
Warm the pre-cooked quinoa in a small saucepan or microwave until heated through.
Slice the grilled turkey and serve it alongside the quinoa and roasted broccoli, finishing the entire dish with a fresh squeeze of lemon juice.