How to sync Google Calendar with Radicale, 2 ways?

Question

I have my own calendar that works with the Radicale server, I want to synchronize my calendar with my Google calendar, if I create an event in my calendar, I want to see it in my Google calendar, and if I edit this event in Google calendar I want see the change in my calendar.

I know that using the Google Calendar api I can set an event from my calendar, but I can not do it from Google to my calendar.

I use this client to connect with the radical: https://github.com/gaye/dav

Is there any way to do this?