Being one of the pioneer institutions across the world in engineering and technology, higher studies in the Indian Institute of Technology would be a dream for the youth in India. Graduation/PG from IIT is not a cakewalk, tough and competitive, but has been worthy and prestigious with good efforts of practice along with confidence and understanding the concept.
Governed by the Ministry of Education of the Indian Government, there have been 23 IITs all over India at present. Each being autonomous but have been administered by a common council known as IIT Council.
You have not mentioned about your core branch in your bachelor's degree. As per your aspiration for electrical engineering in IIT, I henceforth assume you have had chosen EE in your UG program.
Electrical engineering primarily include curriculum regarding electricity generation, transmission, distribution, circuit designing, and various equipment/systems installation. Recently advanced technologies such as smart grid systems, remote control, wireless devices, micro/nanotechnology and so on have emerged into this field. Based on this, various specializations in EE have also been included like power engineering, electromagnetic, control systems, network systems, signal processing, high voltage engineering, microelectronics, VLSI, etc. You can choose your specialization according to your interest in this core technology.
Regarding the admission process to the M. Tech program in IIT, valid GATE score is essential and eligibility criteria vary between the IITs and you can visit the related websites.
IIT in Madras for Control System specialization, Bombay and Kanpur for Power System, Kharagpur for High Voltage Engineering, Bangalore for Microelectronics and VLSI, and Roorkee one of the oldest institutions have been top listed for PG in electrical engineering.
Nothing comes your way to get into this institution of prominence if you go with good academics and confidence beating all odds like break in studies.
I wish you good luck.