what email provider do you use? if it's Yahoo mail, Gmail, or hotmail, just use Internet Explorer or whatever browser. If you're using a client like outlook, it's more complicated
I assume you have Windows 7 on your new Dell. Unfortunately Windows 7 doesn't come with a email client like Outlook Express etc.
There are various free email clients that you can use like Windows Live Mail or Mozilla Thunderbird or you can use Microsoft Outlook if you have Office Pro installed.