Many hotels, and some restaurants and coffee houses offer freerecomputer use, too. The internet is easy. The librarians will help, if you don't know the basics. Search engines are simple. It helps if you can spell, but some of them even politely offer suggestions if you misspell a keyword.
Many organizations offer free email.
Those are the only ones you are required to answer. Think of a free email service as something akin to a TV or radio station. Your email provider will carry some advertising, just as your favorite TV show has commercials, but the good ones aren't obnoxious about it. A combination of letters and numbers is best. Write it down so you won't forget it.