Once you are in Google Calendar, pressing different keys works as shortcuts for switching months. Press W for Week view, D for Day view, M for Month view, etc. (if this feature doesn't work, check your settings).
Appinntment Slots: You can set up appointment slots on Calendar to schedule things like Parent Conferences! Click to add an event like you would normally, but click Appointment Slots instead of Event to unlock settings. You can set increments to break your event into, or offer the slot whole. Be sure to check your calendar settings and make sure your intended audience has access before sending out the link!
YOU CAN PRINT FROM GOOGLE CALENDAR! Change your view (Day, Week, etc.) to modify how much prints out/how visible it is).
On the left sidebar, if you hit the arrow next to Other Calendars, you can search sports, moon phases, and other cool calendars under Browse Interesting Calendars.
On the computer, you can't sync other calendars with Google Calendar, but on mobile devices you can via the Google Calendar app.
You can embed calendars on other sites! I just created the Calendar below to better communicate with students and parents regarding changes to my tutorial schedule (e.g. scheduling extra sessions for students, removing sessions due to faculty meetings, etc.)