If you have access to an SMTP server that accepts unencrypted connections, there is a community app/driver that you can use to send email notifications.
As indicated in the Hubitat Documentation (linked below), you can get SMS notifications if you setup a Twilio account:
Setting up SMS alerts with the Twilio integration isn’t difficult, but it isn’t free (someone’s gotta pay for the SMS usage).
Setting up email alerts with any of the community developed solutions is difficult.
The Hubitat mobile app can be used to receive push notifications, although the integration with Pushover allows for more customizable push notifications.