python – Will Google Cloud run this type of application?

Yes it can. I would recommend familiarizing yourself with this Quickstart: Deploy a Python Service to Cloud Run and What is Cloud Run. When you use Cloud Run, you can provide your own Docker image that uses Python, or select from preexisting images.

Once you have a Cloud Run instance running, you can tie it into other Cloud Run instances or Cloud Functions which are scalable functions that use Cloud Run under-the-hood and allow you to easily scale your app. Additionally, these instances spin down to 0 if nobody is using the app which saves costs greatly. This can be modified of course so that the app is always spun-up.

In general I highly recommend looking at Cloud Run but also other services can handle the task such as a Compute Engine.