How do I make a python script?
Begin with:
¤ this book if you’ve never programmed:
http://www.greenteapress.com/thinkpython/thinkpython.pdf
¤else:
ftp://ftp-developpez.com/python/cours/TutoVanRossum/fichiers/EnglishTutorielPython.pdf
And then continue with this one:
ftp://ftp-developpez.com/python/cours/DiveIntoPython/fichiers/endiveintopython.pdf
Have a nice read 
don’t forget the Library reference from python.org
To make Python scripts you need to write some Python 
But I have a question, lets say I made a nice and useful script for Blender. How can I share this with other people? Who is submitting scripts in blender.org web page or is there any other better place?
You cant because snakes dont have fingers.
you open up a connation with a keyboard and type in a text window then save as *.py but to run it you need python installed.
I think it is a lot simpler than any of that. I’m not 100% sure, but in Blender, switch to the Scripting Screen Layout http://wiki.blender.org/index.php/Manual/PartI/Interface/Screens
In the big text box there type the following line:
print “hello world”
Then with your cursor in the text window, press Alt-P. Or in the text window header, select File->Run script
Now look at the Blender console window. If it says “hello world” CONGRATULATIONS you have just run your first Python script.
I see what you did there.