Is there a graphic web browser that can used inside of emacs?

w3m can be run in Emacs buffer as well through emacs-w3m. Note that contrary to Emacs/W3, this is not a pure browser implemementation in Emacs Lisp, but an interface to a standalone tool, and in fact it's not graphical as well.

Some day http://www.emacswiki.org/emacs/EmacsXWidgets work will be finished and hackers will be able to surf the interwebs conviniently without leaving Emacs at all since modern browsers will merge with their notorious ancestor.

I don't think it's being actively developed, but you might try EZBL:

• github: https://github.com/haxney/ezbl
• emacswiki: http://www.emacswiki.org/emacs/ezbl

I think you might be looking for Emacs/W3 but as it stated in the corresponding wikipedia article, it is now somewhat obsolete. A rewrite is pending, but I don't know about its status.