Select the calendar note time period you prefer. For example, you can select
This week to display this week's calendar notes, or
Next Week or
Next Month, to list just a few possibilities.
Note
Don't snooze a calendar note beyond the period for which you have it set to display, or it won't appear again. For example, if you've set the Alerts options to display calendar notes for This Month and then snooze a note for a month, the note won't appear again at the end of the snoozing period because the date no longer falls within This Month.