Just finished repairing a PC which could ping websites, but could not browse to them using Internet Explorer or Mozilla Firefox.
Turns out that Norton is once again to blame.
A fix is given on the link below. In short, use the Norton Removal Tool to remove any offending applications, rebott, and the joy of the Intenernt shall return to your PC.
http://amiatypist.blogspot.com/2009/12/can-ping-can-not-browse.html
Maybe at somepoint manufacturers might start bundling decent security software with laptops and PCs.