Daily Agenda notifications include a list of all events for the next 1-3 days.
Setting up a Daily Agenda subscription can be useful for sharing public events or access to a special-purpose sub-calendar for a known group of users. However, it's not suitable for sharing internal events or any other calendar info that should be kept confidential or not shared outside of the team.
If you are a calendar administrator, you can set up Daily Agenda subscriptions in the calendar settings for an additional email address.
The link is included in the Daily Agenda emails, so the recipient will be able to access the calendar using that link. If someone should have read-only access to the calendar, and you set up notifications for them with a modify link, they will be able to access the calendar with modify permission.
For better security, default to a read-only link for Daily Agenda subscriptions.
If you don't have administrator access to the calendar, ask the calendar admin to set up the Daily Agenda subscription for your additional email address, following the steps above.
Alternately, you can create an additional user account for your other email address. Then you can log into that user account and set up a Daily Agenda subscription using the calendar's front end Settings > Preferences > Daily Agenda option. Details here.