A smiley face is drawn as a centered SVG graphic, with a yellow circular head, a black stroke outline, and two black eyes positioned symmetrically above the center. The face is built using React components that render SVG primitives, specifically `<circle>` elements for the head, eyes, and mouth. The code calculates positions based on the browser window’s dimensions, using `window.innerWidth` and `window.innerHeight` to center the face and size it responsively. React and ReactDOM are used to mount the component into the page.