This study aims to find out the problems of gifted students, who are educated at Science and Arts Centre (SAC), for their career choices and impact of digital media they use on the choices in the process of 'Special Skills Development Program'. The career choices of gifted students in a digital perspective constitute the basic framework of this research. Semi-structured interviews based on purposive sampling were conducted with a total of 20 students, 10 of whom were girls and 10 boys, who continued their 'Special Skills Development Program' at Izmit Science and Arts Centre in Turkey by using case study from qualitative research approach. In the study, it was concluded that gifted students used digital media to investigate occupations they had previously determined; however the right guidance would be very significant because of their worries through career choices and thus social media literacy would be needed at SAC.