Hello Jaromír,
Based on your use case, the Google App Engine seems to be the product you're looking for. Here you can find a comparison of the two GAE environments: Standard and Flexible, however, I think that the GAE standard was an appropriate choice for you.
As for the restarts, according to the GAE documentation, when the instance is created and started:
"Manual scaling instances are restarted immediately, while basic scaling instances are restarted only when needed for serving traffic."
Overall, App Engine tries to keep manual scaling instances running indefinitely. However, please keep in mind that it doesn't guarantee any uptime for now. Nevertheless, if by any chance you notice any unusual behavior in you instance, I would recommend you to open a ticket with the Google Cloud Platform technical support, as that will allow us to inspect your instance more thoroughly.
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