#!/usr/bin/env python

import gi
# May or may not be needed :
#gi.require_version('WebKit', '3.0')

# "WebKit" NOT "webkit" :
from gi.repository import Gtk,WebKit

view = WebKit.WebView()

sw = Gtk.ScrolledWindow()
sw.add(view)

vbox = Gtk.VBox()
vbox.add(sw)

#GTK2 style
#win = Gtk.Window(Gtk.WINDOW_TOPLEVEL)
#GTK3 style:
win = Gtk.Window()
win.set_size_request(400, 800)
win.connect("destroy", Gtk.main_quit)
win.set_title("Skype")
win.add(vbox)
win.show_all()

view.open("https://web.skype.com/de/")
Gtk.main()