While chicken cooks, add water and rice to a small saucepan and bring to a boil. Once boiling, lower heat to simmer for 15 minutes. Once done, fluff with a fork and add butter, then mix well.
While chicken and rice are cooking, heat a drizzle of olive oil in a large pan over medium-high heat. Add broccoli, season with salt and pepper, and cook, stirring, until soft and slightly charred.