I can't speak for Beatnick, but my impression is that the suggestion is to use WebFetch as a basis to fill your own needs. Download it, play with it, see what comes close to doing what you want, copy it and modify. It's a great way to learn and it gives you the opportunity to give back to the project (chances are if you find a certain application useful (e.g. Weather Channel, TV listings, whatever), someone will too.)

To answer your original question, some combination of LWP and HTML::Parser (or one of its subclasses) will do what you want.