To install React DOM and build your bundle with webpack:

$ npm install --save react react-dom babel-preset-react
$ webpack

webpack <entry> <output>

module.exports = {
  context: __dirname + "/app",
  entry: {
    jsx: './main.js',
    html: './index.html'
  },
  output: {
    path: __dirname + '/dist',
    filename: 'bundle.js'
  }
}