Typically a lot of scripts, cron jobs and such will generate output that gets send by email to the operator. The only guaranteed operator account to exists on all Linux/Unix boxes is root, so that becomes the default mail recipient.
The same holds for email that bounces and can’t get delivered.
Typically the administrator will configure the system to forward mail addressed to root to an user acount (locally or remote). The default is via
# Basic system aliases -- these MUST be present. mailer-daemon: postmaster postmaster: root # Forward all mail to root to the email root: firstname.lastname@example.org
If your VPS comes with sendmail you need to run
newaliases to activate the changes.
To route email you need DNS so start by confuguring DNS. Edit
/etc/resolv.conf and add the following lines:
# /etc/resolv.conf # Use Google's public DNS servers nameserver 126.96.36.199 nameserver 188.8.131.52
Often this is already sufficient to send email.