In Albertville in 1992, the year when women’s biathlon was introduced, Bédard earned a bronze medal in the 15km event. In Lillehammer in 1994 she took the gold medal in the same event
Five days later she entered the 7.5km race. After the start of the race, the young athlete realised that she had grabbed one ski from one pair and another from a different pair. The left ski was improperly waxed and she struggled with it throughout the race. Nevertheless, Myriam managed to better the time of Svetlana Paramygina by a mere 1.1 seconds and win her second gold medal.