Go to http://www.mail2web.com. Enter your email address and password. The email in your account will show up on the following page. However, the email will stay on the server so that you can download it to your Outlook later.
You can also install cpanel proxy on your account, for cpanel and for webmail to allow you to access these functions on port 80. The files you need and instructions can be found at http://www.cpanelproxy.net