If by the "Google Code Course" you mean the course that is instructed by the guy with the Netscape shirt (Nick Parlante), yes, I would recommend it above the tutorials at python.org for a first round of Python knowledge gathering. Reason being: He brings up a bunch of problems and quirks of Python at the get-go, as well as a bunch of tricks and shortcuts. Overall, I think it's a very well-structured course.
Personally, I think that the tutorial and overall docs at python.org help only when you have most of the basics of Python hammered down. I found myself using them more once I started /getting/ the Pythonic way.
http://learnpythonthehardway.org/book/
The same person that did Django by Example also did one for Python:
There are some NumPy tutorials online (and I seem to remember on Github too) which are worth tackling if that's the direction you're going in.
I just skimmed the python.org tutorial for the first time and it reads like the tl:dr version of full reference docs.