Sync & show Google/iCal events publicly? Help!

Hi folks! 

I'm a musician and I run my music page through Squarespace. I have a "Shows" page on my site where I list all of my upcoming gigs. I usually fall behind keeping it updated because Squarespace's process for inputting event information isn't the most user friendly—at least to me. Anyway, I would think there'd be a way to simply sync my personal Google or iCal Calendar to Squarespace, and show that calendar publicly on my Shows page so I don't have to go in and input each event separately. Does anyone know if this is a possibility?

I've done some searching and I've been led to the "Scheduling" section, and have linked the calendar, but I can't figure out how to show it publicly. Plus, that's more of a booking tool anyway. Everything just seems really overwhelming and I could definitely use some help!

Thank you so much in advance! 

www.samohare.com