Zapier is a fantastic tool for improving your workflow between the services that you use the most. For example, let's say that you're a devoted Evernote user and a devoted Dropbox user. Zapier will let you connect the two so that you can send your Dropbox files to Evernote. Or maybe you use Twitter all the time and you want to save some Tweets in an Evernote notebook, Zapier can help you do that too.
I recently used Zapier to create an automation between Google Forms and Google Calendar. By using Zapier I was able to automatically add Google Forms submissions to events on Google Calendar. I did this so that I can create a Form that people use to register for an event and then have their email addresses added to the event on my Google Calendar. That way I can send a quick reminder to everyone who signs up for my event.
Applications for Education
Zapier supports more than 750 tools that you can connect through "zaps" in Zapier. With support for that many tools, there is probably a "zap" that can help you improve your workflow. Perhaps you use Office 365 and you need a way to quickly add parents' and students' email addresses to your contacts, Zapier offers a zap that will automatically add submissions to Google Forms to your 365 contacts. That zap might be helpful for managing things like extracurricular club rosters.
How to connect the disconnected pieces of G Suite for Education is one of the modules in my G Suite for Teachers course. Detailed directions on using Zapier are included in that module.