I don't think there is an email client on the modem. You would need external application to take care of this task.
In old time there was a way to send email via SMS but not sure if it would work on LTE:
Most carriers use an SMS to email gateway. Short code should be specified as the address in the +CMGS command. The email address should be entered at the start of the message typically followed by a space and then the message itself (this can also vary by carrier). Some carriers also allow a subject line to specified between parentheses in the format “address (subject) message”.
Some example SMS Email Center short codes:
AT&T 111 and 121
For example to send me an email using AT&T you could use:
email@example.com (Subject) HELLO ME<Ctrl+Z>
A list of SMS gateways and GW numbers is here: