On the Internet, port often refers to a number that is part of a URL, appearing after a colon (:) right after the domain name. Every service on an Internet server listens on a particular port number on that server. Each port is like a different door to the server and often each one must be opened on the firewall for information to flow through.
Most services have standard port numbers, e.g. Web servers normally listen on port 80. Services can also listen on non-standard ports, in which case the port number must be specified in a URL when accessing the server, so you might see a URL of the form: https://server.com:2083 which would allow you to log into cPanel at server.com over port 2083.