HOW CAN I SURF THE WEB ANOUMESLEY, I SOMETIMES USE THE WORKS COMPUTER AND I DONT WANT THEM TO SEE I HAVE BEEN ON EBAY

HOW DO I DELETE THIS???

Without getting into the ethics involved in your question and just offering a generic answer.
It depend on what monitoring/security programs,etc. that an employer employs and their diligence.
In other words, you can remove evidence from YOUR computer, but that is not the only place where one's activities are being monitored and recorded.

okay thanks

dont go into too much detail, but just advise how to delete the previous websites please

thanks in advance

To clear out the history in Internet Explorer, select the Tools menu, Internet Options. On the General tab click the "Clear History" button.

Like buddy215 said though, this doesn't mean that your employer doesn't have a record of the sites you have visited.

Attempting to circumvent your employer from monitoring your use of their equipment is an attempt to defeat their security measures. This topic is now closed.

The quote above is taken from the Bleeping Computer Rules which can be found here.

Mod edit to repair BBCode tags.