|The only thing you can do is to download the web page and extract the data from the HTML document. That requires some programming skill and is not very reliable as all it needs is for the host to change the web page slightly and you need to do it all over again.|
Extracting it from the router would be even more difficult at that requires complex networking skills. Are you familiar with HTML and networking protocols?
Routers don't collect data. They just receive it and pass it on to its destination. It matters little to the router whether that data is HTML, E-mail or a video stream.