Goulet-Nadon trained under Guy Thibault and André Guilmette at the performance center in Montreal and started for the Montréal International club . She fought her first international title fights at the Junior World Championships in 1999, where she reached the semi-finals as the best result over 1500 m. The following year she took part again in the Junior World Championship, but could not survive the preliminary runs there. In January 2000, Goulet-Nadon made his debut in the World Cup in Gothenburg and reached the semi-finals over 1000 m straight away. In The Hague , she contested the team world championship for the first time and finished fourth with her teammates. Goulet-Nadon only started irregularly in the next season. She took part in a World Cup, but could not survive the heats there. At the Junior World Championships in 2001 she reached the finals over 500 m and 1500 m. She was able to win her first international medal at the 2001 Team World Championship in Minamimaki , where she won the bronze medal. In the 2001/02 season Goulet-Nadon achieved the breakthrough in the world elite. She started at three World Cups and reached a total of three semifinals. At the team world championship in Milwaukee , she was able to repeat winning the bronze medal from the previous year. In addition, she was able to win medals for the first time in Montreal at the World Championships, over 1500 m and with the relay she won bronze, in the all-around she was fifth. She won another bronze medal at the Olympic Games in Salt Lake City , where she competed with the relay and finished third in the final.
Goulet-Nadon dominated the 2002/03 season in the World Cup. Over 500 m, 1500 m and 3000 m she reached the podium in the World Cup three times and over 1000 m twice, including a total of four World Cup victories. Goulet-Nadon also achieved another World Cup victory and three podium places in the relay. She won the World Cup over all three distances and came second in the overall all-round standings. She was also successful at the World Cup in Warsaw . She won over 500 m and the silver medal with the relay, in the all-around she was again fifth. The following 2003/04 season was also successful for Goulet-Nadon. She was able to take eight more podium places in five World Cups, three of them with the relay and a victory over 500 m. In their opinion, the team world championship in Saint Petersburg , where the Canadian team finished fourth, and the world championship in Gothenburg were unhappy . There she was eighth in the all-around competition and reached three finals. In two finals, over 3000 m and in the relay, she did not start after two runners of the Canadian team fell badly and then all Canadian athletes were withdrawn.
Goulet-Nadon's career took an abrupt turn in the summer of 2004 after she developed a motor disorder that severely restricted her muscle control. Despite the health problems, she started in the first World Cup in the 2004/05 season and reached the podium again with the relay, but then broke off the season prematurely and later ended her career for good.