Starting off in Karts, Giedo had won the Dutch championship by the age of 13, going on to win the Super A World Championship four years later.
In 2003, he made his single-seater debut with Formula Renault 2000, finishing sixth overall with the Dutch team Van Amersfoort Racing. Based on the strength of this inaugural season, the youngster was invited to join the Renault F1 Driver Development programme.
For 2004 he moved up to the Formula Three Euroseries with Signature-Plus, however, a poor season, in which he finished ninth saw him dropped by the Renault F1 Driver Development programme. Another poor season followed in 2005, when, remaining in the Formula Three Euroseries, he moved to Team Rosberg.
For 2006 Giedo joined ASM which had dominated the previous season with Lewis Hamilton and Adrian Sutil. The team continued to dominate in 2006, however, it was Giedo's two teammates, Paul di Resta and Sebastian Vettel who took the honours, claiming the top two places in the championship respectively. Giedo ended the season sixth, having scored just one win, three points ahead of ASM's fourth driver, Kamui Kobayashi.
Nonetheless, during the year, Giedo was recruited to the McLaren Young Driver Programme and at season end was announced as Super Aguri's test and reserve driver for 2007. However, on February 1, Giedo was confirmed as Spyker's test and reserve driver leading to the two teams having to have the issue settled by the Contracts Recognition Board. In June, the youngster tested at Silverstone with Spyker, the dispute seemingly having been resolved in the Dutch team's favour.
After three seasons in Euroseries, for 2007 Giedo switched to the Formula Renault 3.5 Series with Victory Engineering. Although consistent, the Dutchman failed to score a single podium result, finishing the season sixth overall.
Despite the lack of results, Giedo received a number of offers to move to GP2 for 2008, however he opted to remain in Formula Renault 3.5 but switch teams to P1 Motorsport. It was a superb season for the Dutch youngster who scored five wins on his way to taking the championship.
At season end, Giedo signed to drive for iSport in the 2008-09 GP2 Asia Series and the 2009 main GP2 series. At the Hungaroring he took his first victory, in the sprint race, adding two more wins before the end of the season on his way to seventh in the final standings.
He had not been due to compete in the 2009-10 GP2 Asia series, but subsequently contested the second round with Barwa Addax. He remained with the team for the main series, once again finishing seventh overall.
Remaining with the Spanish outfit for 2011, Giedo third in the four-race GP2 Asia series and fifth in the main series, having led the championship after the first two rounds.
Having scored no points in Monaco, not helped by the fact he was penalised for an incident in qualifying, he lost the championship lead to (eventual winner) Romain Grosjean. While at Monza, where he had a disastrous weekend, he slipped back to fifth in the standings, behind Luca Filippi, Jules Bianchi and teammate Charles Pic.
Having been in contention for the Virgin F1 seat in 2011, which eventually went to Jerome d'Ambrosio, it is ironic that in 2012 it was Pic, Giedo's former GP2 teammate who would partner Timo Glock at the Russian team.
On February 4, it was announced that Giedo would be test and reserve driver for Caterham in 2012 while also contesting the GP2 Series with its GP2 team.
There were victories in Spain (Feature) and Singapore (Sprint) and four other trips to the podium, but at season end Giedo could only manage sixth.
As part of his contract with Caterham's F1 team he contested the Friday practice sessions at six Grand Prix.
On 1 February, days before the launch of its 2013 contender, Giedo was named as teammate to Charles Pic. "I know I am ready to take the step up to F1 and all the work I have done throughout my career, and particularly in the last year with this team, has brought me to my ultimate goal," said the Dutch youngster. "Throughout 2012 I was able to fully integrate myself into the team, both through the FP1 sessions I ran at a number of tracks that were then new to me, and as Reserve Driver, fully embedded with the team throughout the season. Now I can continue to learn at the highest level of motorsport and show that I am ready for F1. I cannot wait to start work."