The British national was serving with the Royal Marine Corps in Helmand province when he was "blown up" by an improvised explosive device (IED) blast.
"I lost both of my legs there. Going skiing was the main part of rehabilitation and I've just taken it from there."
He used to ski a lot beforehand but had never raced and, faced with his situation, underwent a "fast learning curve".
"It's completely different, but it's good. It's nice to be able to compete again with people," said Bishop, who won a silver medal earlier this year at the IPCAS Paralympic Winter World Cup in Sweden.
His racing kit consists of two "outriggers" - small poles with skis on the end, enabling him to turn - and the Austrian-made sitting ski set-up, which features full shock suspension and clips into a single ski like a normal ski boot would.
Yesterday's giant slalom event did not quite work out as planned for Bishop, with a "did-not finish" recorded after he made a mistake on the first run.
"[It was] not good at all. I just got caught out late at the top of the course and that was me, done, sliding. I just didn't make one of the gates in time."
He plans to make up for it with more Winter Games skiing action later in the week in the Coronet Peak Slalom and Mt Hutt Super G events, but had his sights set much higher.
"I'm hoping to get the points down and make it to the Sochi [Winter Olympics] in 2014. You have to get to European Cup and World Cup standard and then competing in the nationals to try and qualify, and go from there."
However, for now, Bishop is enjoying the competition, as well as exploring the area in a rental van.
"It's a good laugh," he said with a grin.
"Not too bad at all."
