There is the URL of page on the Internet. I need to get a screenshot of this page (no matter in which browser).
I need a script (PHP, Python (even Django framework)
Why do you need a script when you can use a service from another site? Check for example what I am using: WebSnapr http://www.websnapr.com/ Or check http://www.google.ro/search?ie=UTF-8&q=website+thumbnail if something else fits your request.