Code with Python: Should i choose a framework or go with core python to develop web? Which is the native DB for Python web?

I am the student of final year can you suggest me some Python web projects? I want to learn python and build my final year project in Python but I've no idea how to work with python so please guide me and answer my following questions please

Should i choose a framework or go with core python to develop web? Which is the native DB for Python web? e.g MySQL is native DB for PHP. Which Web framework of Python should choose and why?