How can I go there ?

Pay for a cruise
Just book a boat or a plane to go there. That's the easiest solution, but also the most expensive and you don't get to spend much time there if you are on a boat, they usually coast along where you see plenty of icebergs but you only get to set foot on the continent for a couple hours at most. Plenty of companies offer cruise to Antarctica. While in Terra Nova Bay, the Bremen) unloaded a score of bright red tourists.
 
Go with your own ship
Well, if you are a good sailor and have a solid ship, why not ? There's no law against it usually to the Antarctic peninsula. In '2001, at the end of our winter over in Dumont d'Urville they received a radio communication: a sailboat wanted permission to come to the station. They were 5 Australian women going around the world. The authorization was promptly granted (you bet !) but the day after a big storm blew and the ship had to sail away...
Pay for a flight
Some companies, offer sightseeing flights of Antarctica.
 
Pay for an air-drop
If you are a climber/skier and wish to be air-dropped and later air-lifted off the continent itself, you can use the services of one or two companies like Adventure Network International or Borek who have been flying to Antarctica for quite a while.