Hi, Karl Seeler!
Thanks for reaching out to Microsoft Community and posting your concerns. We are sorry to learn you encounter troubles sharing your screen in a Google Meeting with your Surface Book 2. Thanks for taking the time to let us know about this allowing us to help you out. First thing, we need to know if this is a meeting via the Google Hangouts Meet. If it is, kindly check with the Google Support pages regarding this. From what I can find online, here is a search result that will help you out. Kindly check the first result there in order to be prepared before sharing your screen.
Hangouts Meet training and help. If you need further clarification for this, kindly reach out to Google Support for this to be addressed properly.
If this answers your question, please let our Community know by marking this post as an answer. Otherwise, don't hesitate to respond to this thread if there’s anything else that needs to be addressed.
Kind regards,
Janette_Z