Running Django on PyPy boils down to installing both and running Django with pypy instead of python.
Download a PyPy binary from http://pypy.org/download.html and follow the install instructions there.
Run Django the usual way with PyPy:
pypy ./manage.py syncdb pypy ./manage.py runserver
PyPy runs the templating engine faster than CPython, but so far DB access is slower for some drivers.
Some C-based DB drivers don't work with PyPy. See the Compatibility Wiki for an overview of what works.