Heat 1 tablespoon olive oil in a large skillet over medium-high heat.
Season the 1 pound of chicken pieces with salt and pepper.
Add the chicken to the hot skillet and cook, stirring occasionally, until no longer pink in the center, about 6–8 minutes depending on piece size.
Add 2 cups broccoli florets to the skillet and cook until tender-crisp, about 3–4 minutes.
Stir in 1 cup hoisin sauce and cook until the sauce is heated through and slightly thickened, about 1–2 minutes.
Adjust seasoning if needed and serve hot.