There are TWO ways of getting this achievement, The Long Way and The Short Way.The Long Way:-
Start a career mode with a smaller team, fight to win, do the best you can until one of the big three offers you a contract. More fun this way.The Short Way:-
Start a new career mode, instead of racing the F2 events, simply crash out or retire from each race, when at the agents office, apparently your past crashes dont matter because you get offered a contract with any team you want! Obviously pick Mercedes, Red Bull or Ferrari to gain this
Hope this helps!