The API of the WebView type in QtWebKit 3.0 is completely different to the previous version.
See http://doc-snapshot.qt-project.org/5.0/qtwebkit/qtwebkit-index.html for information, and see http://doc-snapshot.qt-project.org/5.0/qtwebkitexamples/qtwebkitexamples-index.html for examples using the WebView type.
From what I can see, the new API is simpler, but possibly allows less introspection and binding capability, than the previous version. It could be that inspecting the DOM or calling JS functions directly on a WebView is not possible with the new API. You can, of course, use QWebElement and friends, but you might have to write some custom wrappers to expose its functionality to QML. I don't really know the WebKit code at all, so I can't really say for sure, to be honest.
Cheers,
Chris.