Web server running python.

I want to create a web server that I can accesses over the internet (not just locally) and can run and execute python scripts. These scripts will be doing some querying on .db files and returning processed query results. I want to be able to run POST and GET methods on my web server. How should I go about doing this? This is for a school project. From my research, I would need a dedicated computer to be my web server and I don't have those resources.

Thank you.