People usually fly to Patriot hills. But this still leaves you at about 80degS or 550 miles or so from the pole IIRC. So then there is another flight to the drop off point, a walk/ski and a flight out. In the summer the last degree can be done in 10 days allowing for poor weather.

The cost does really add up, but there is a similar option for those in the northern hemisphere to the north pole. The issues are different though with the going being tougher (ice pack drifts, normally in the opposite direction to where you want to go, and can be thin, ice for water which is not salty can be hard to find and there are more pressure ridges). Then there is the wildlife (big white paddingtons). And you tend to have to fly with (drunk) Russians which is an 'experience' in itself!