Flutter web, get generated elements from the DOM

I am trying to retrieve input elements from the DOM in a Flutter Web app, but so far I have not been successful, and I’m not even sure if it can be achieved.

For example:

TextField(
  key: const Key('referenceNumber'),
  decoration: const InputDecoration(
    border: OutlineInputBorder(),
    labelText: 'Reference Number',
  ),
  onChanged: (text) {
    setState(() {
      referenceNumber = text;
    });
  },
),

Does Flutter generate an <input> element for this TextField widget?

In my Flutter-generated web app, I need to integrate a JavaScript library that requires the ability to identify the generated DOM elements.