@gollum,
engineer-
I can set a given Notification on either E-mail or on Notification.
If I choose Notification, then it shades my Calendar at the number of minutes before the Event time that I set. However, I will not see the shading if I do not have my PC Monitor on my Calendar.
If I choose E-mail, then it sends me an E-mail at the number of minutes before the Event time that I set. However, I will not see the E-mail if I do not have my PC Monitor on my G-mail Inbox.
I think that the solution may be to set my E-mail notifications to cause a chime or other sound when I receive a new E-mail. Therefore I went to G-mail Settings but I don't see such a Setting.