The Pip package file structure is organized around the `setup.py` file, which contains package metadata such as name, version, author, description, and package options. The package root directory typically includes configuration files like `.gitignore`, `pyproject.toml`, and `setup.cfg`, as well as environment files like `.env.example`. The source code directory contains module files, package initialization with `__init__.py`, and the `requirements.txt` file listing direct dependencies with version specifiers.