Well getting an email is free from many service provider. Their are many service provider like Yahoo, gmail, lycos, windows live mail etc. Again your service provider will also provide email address, but most of the time they are restricted to one email or 2 to the max
Gmail and yahoo are one of the most preffered email today. It very easy to get email account. Me personally would recommend gmail rather then Yahoo. The reason if you Gmail support both POP and IMAP account, wherein you can directly synchronize your Outlook or Outlook express to the mail server. This enables you to download, send recieve email directly to your computer, so that you dont have to login to the website to check the email. Also you can still READ email without connectint to the email.
Yahoo also support POP service but you have to pay for it. But gmail from Gmail it is free
To create new account goto
and click on 'create new account'
However if you are ready to pay for the service.
I suggest you to try, 'Apple MobileMe'
Unlike Gmail or Yahoo it provide Exchange Support, and it is the best
More information on POP vs IMAP vs Exchange is available on
But for the basic use and if you are look for the free one try gmail it is the best
Hope i have answer your query