Can you really receive and e-mail whenever a customer, user, etc. fills inside a form that is being placed into tables on the MySQL Database?

Thanks!

Yes certainly, browse the mail() function:

http://php.net/manual/en/function.mail.php

Yes. Within the script that handles the shape, eg, <form method = "post" action = "someScript.php"> in "someScript.php", you should use the mail function, that is simple as lengthy because the e-mail is not very complicated. You'll have to be careful for header injection attacks.

An alternate, and almost imperative in case your understanding is not exceptional, is by using an exterior PHP Library to deal with delivering the mail for you personally. There's many available, but this thread and this thread have links to some.

Immediately after your query you can simply call PHP's mail() function

A few links to enable you to get began: