Sorry to that you're not eligible for NET entrance examination after completing B.Ed course. To appear in NET Entrance Examination then the candidate should be complete Master degree in any discipline from recognized university.
So, you need to complete master degree course after completing B.Ed course in order to apply for NET Entrance Examination.
NET stands for (National Eligibility test) and this Entrance Examination is conducted by UGC for every year. The Applicant who are aspiring to become a Lecturer then the applicant should be qualified in NET Entrance Examination.
The examination is conducted in June and December every year
The Applicant should be complete Post Graduate degree course in any discipline with 55% percentage of marks from recognized university.
Applicant age should not more than 28 years for Junior research fellowship post and there is no age limit for lectureship post
So, as per your qualification you're not eligible to apply for NET Entrance Examination. So, please complete master degree course in order to apply for NET entrance examination.
Having BEd makes you eligible for being teacher at government or private schools, you can appear for CTET or state TETs, but ugc net is different thing here candidates are required to pass Master's Degree with 55% aggregate, for reserved category there's relaxation of 5%, you can appear for UGC NET even in the final year of post-graduation, this makes you eligible for JRF or Assistant Professor.In University level, BEd isn't mandatory, only Master's Degree matters.