Many companies in public sector ask for GATE score for eligibility criterion for recruitment . So if you have not appeared for GATE, you may do that. Electrical Engineering s a basic course and there are many specialisation and branch courses you can do either as post graduate course or diploma course. You can join them while simultaneously looking for jobs. Guide books for competitive examinations for jobs are available in book stores and even online. You may follow them. You have different choices for job - those general jobs for which graduation/ Engineering is the minimum qualification, and those core jobs where the qualification is electrical engineering.
You can search the net for the various job sites and from them the different jobs that need electrical engineering as eligible qualification. You may search in iSC also. From there you may get an idea what are the additional qualifications sought by the employers. It is better t subscribe a n employment newspaper/ magazine like Employment news and glance to know the latest trends in recruitment.