Route to the Falkland Islands
You'll more than likely go with Air Luxor, which has screens showing the flightpath, although they're not on all the time. Being a twin-engined aircraft, the A330 is an ETOPS operation, so the route takes you towards the coast of Portugal*, on to the Canaries, West Africa (the bulge), and then heads out into mid-Atlantic to reach Ascension.
From Ascension, it heads basically towards the east coat of S America (Brazil), and follows the coast at a distance until it reaches Argentine airspace, and then heads slightly eastwards towards the Falklands. Not a very technical description, and I'm sure someone else will come up with something more accurate, but at least it (hopefully) gives you a flavour of it.
* This is in case they have to make a refuelling stop - not unknown. Despite the name, the airline is Portuguese.