NVDA is a free screen reader for Windows (written by blind devs) that works with Firefox and Chrome.

You don't need to pay for a specialist browser as all web browsers (Firefox, Chrome, Edge, Safari, etc.) will implement the native accessibility model of the operating system they are running on (IAccessible/MSAA for Windows, etc.).

In Firefox you can press the right mouse button and select "Inspect Accessibility Properties" or select the "Accessibility" tab from the developer window and it will show the accessibility tree (roles, states, properties, etc.) just like the DOM tree in the "Inspect" tab. That is what the browser is displaying to screen readers and other accessibility software and uses the behaviour of the HTML elements along with the ARIA roles/states/properties defined by the webpage to construct that tree. Thus, it will display an ol/ul as a `role=list` unless overridden to be e.g. a `tablist` by the website.

See https://www.w3.org/TR/wai-aria-implementation/ for a specification on how browsers should implement HTML and ARIA to different operating system accessibility APIs.