A React crash course demonstrates rendering a static "Hello React!" message through the component-based React API. The example uses React 16.13.1 and ReactDOM to mount an `App` component into a DOM element with `ReactDOM.render`. It imports hooks like `useState`, `useEffect`, `useRef`, and `useReducer`, though the current component does not invoke them. The index.html file defines a large text style and loads production builds of React and ReactDOM from unpkg.