"Web-based email" means that your Yahoo! Mail account is actually a web site, permitting seamless integration of web capabilities and your email, as well as providing access to your email from any Internet-connected computer in the world.
Once you have connected to the Internet you can simply point your computer's web browser to: http://ph.mail.yahoo.com and sign into your account. "Client email" refers to email sent from a program on your computer such as Microsoft Outlook, Eudora or Netscape.