I would recommend using Make's Google Sheets integrations to do this.

If you’ve never used Make before, I’ve assembled a bunch of Make training resources in this thread. For example, here is one of the ways that you could instantly trigger a Make automation from Airtable.

I also give live demonstrations of how to use Make in many of my Airtable podcast appearances. For example, in this video, I show how to work with Airtable arrays in Make.

Hope this helps! If you’d like to hire the best Airtable consultant to help you with anything Airtable-related, please feel free to contact me through my website: Airtable consultant — ScottWorld

Pretty cool way of doing it: 

https://youtu.be/mU2my6U3vZU

Hi Christopher - figure you've found a solution by now (😅), but since things have progressed a ton since 2019, wanted to share for others.

Whalesync now has a true two-way sync with airtable<>gsheets so that every time a change is made in airtable it updates the corresponding google sheet (and vice-versa):

https://www.whalesync.com/connect/airtable-google-sheets

https://www.youtube.com/watch?v=BDH5f7OUHlQ

CSV Getter has to be the easiest! 1 way sync Airtable → GSheets. 

Don’t believe me? This guide says it all:

Export Airtable to Google Sheets