To be honest, I don't know how to deploy your website there. I have a doc about storage, but not about running the script on top of that.
Actually, your question is outside the scope of support. Think about Chevereto as a software application and the server is the computer where you install it.
Let me clear this, I just want to deploy chevereto 3.10.1 on Google App Engine. Can we deploy this? I'm asking because this is not as simple as we deploy website on a simple web hosting or computer. Can you help me on this issue?