I've done nearly every programming language you can think of over the years and to be honest, I don't see the point in building a browser, what do you expect to achieve?
Is there more relevant projects you can do? I'd suggest building a real world development system, something in eCommerce or at least building a dynamic web application... such as a Content Management System that builds and maintain websites...
but that's me
not you and I appreciate and respect you have your reasons