M.Sc Zoology

No, you can't. Candidates who are willing to appear in upcoming CSIR NET should be well aware of the eligibilities for the exam. Get the complete detail related to the exam from here - https://www.eduncle.com/csir-net-exam
As per the UGC NET eligibility criteria, the candidate who is in the final year of Post-Graduation or have passed his post-graduation with 55% marks (For General & OBC) or 50% (For ST/SC/PWD) marks from a government recognized institute are eligible to appear for the exam.
The official website of CBSE UGC NET exam will begin the online application submission from 5th March 2018.

ADMISSION GUIDELINES:
Candidates are selected on the basis of rank and marks scored in the TANCET exam. The TANCET, conducted by Anna University on behalf of Tamil Nadu government, is conducted annually for admissions in PG courses. The exam is not only for the students of Tamil Nadu but for anyone who fulfills the eligibility criteria.
ELIGIBILITY CRITERIA:
Candidate must have passed B.Sc Zoology/ Adv. Zoology and Biotechnology / Life Science.
Regards.

Choosing a good college is the foundation stone to build a successful career later. If you are planning to apply for an M.Sc course but are puzzled about choosing the right college, you are certainly at the right place. Please refer to the link provided below for a list of top 10 B.Sc/M.Sc colleges in India on basis of ranking released by India Today. Towards the end, we have also listed the top 50 B.Sc/ M.Sc colleges in India.
https://www.shiksha.com/science/articles/top-10-bsc-msc-colleges-in-india-blogId-13473

Yes, GU would be preferred rather than other colleges as the fees would also be low and the faculties here are also very much experienced.

Currently, Central university of Haryana does not offer a course in M.Sc. Zoology. There are over 10 M.Sc. Courses which the university offers to its students, M.Sc. Zoology is not one of them. Regards.

Marks of graduation are enough to get admitted to Masters in Zoology.

I did Post Graduation from the same department and now working as a CSIR-JRF.
Here, you can read detailed eligibility criteria for M.Sc. in Zoology:
http://www.unipune.ac.in/dept/science/zoology/zoology_webfiles/admissions.htm
And, here you will get every update regarding PG admission in Zoology.
https://www.facebook.com/zoounipune/