The , and all of the events created on it, are only visible to you.
There are four different calendar display modes: yearly, monthly, weekly, and daily. Events can be set to appear in whichever modes are appropriate for those events. On any of these calendars, you can click one of the dates, or one of the hours in the daily calendar, to create an event. Once created, you can click the title of the event in the calendar to edit that event.
You can also opt to see just a list of the events themselves (individual or recurring events), sorted by the start time.