Visit the page linked below and enter neweggs URL to make sure the site isn't down or overloaded:http://downforeveryoneorjustme.com/
Can you get there via an online proxy (google a free one)?
If you can then there is something at their end preventing you (your external ip address) from accessing the site. You may need to contact the site admin.
If you can't get there then something with your PC preventing your access. Google "edit hosts file" and make sure there isn't an entry for newegg there.
Try turning off your firewall momentarily to see if you regain access.
Momentarily disable other security software to see if you have access.
If you have another pc in the house (or a friend with a laptop that can use your access point) try accessing the site from it. This is to rule out the modem / router as the problem.
Last but not least, clean cached and temp files. Ccleaner is free and is very good at this. If you download it make sure you opt out of the Yahoo! toolbar install.
If you have disabled any security software while you pinpoint the problem remember to re-enable it.