You are using a class instead of an instance in two locations, line1 and line2, try gtk.gdk.screen_get_default() instead of gtk.gdk.Screen in both locations.
#!/usr/bin/env python
import gtk
class GettingStarted:
def __init__(self):
window = gtk.Window()
width = gtk.gdk.screen_get_default().get_width()#line1
height = gtk.gdk.screen_get_default().get_height()#line2
window.resize(width,height)#line3
label = gtk.Label("Hello")
window.add(label)
window.connect("destroy", lambda q : gtk.main_quit())
window.show_all()
GettingStarted()
gtk.main()