Hi Rahul,
Welcome to the forum.
If you are hoping to live and work in Auckland after you finish your degree, I would think you would stand a good chance of getting a job there because it?s a big city and, therefore, more IT jobs are available. However, living in Auckland would be more expensive than in many other places because the cost of housing and living is higher there.
How much you would need per month to live on depends on many things e.g. if you are prepared to share accommodation with someone that will cut the cost of accommodation ? even more so if you find several people who will share with you. If you use public transport and don?t need a car, that will save you a lot of money, too. If you budget carefully, you should be able to eat quite well without paying out too much money.
It?s not easy to get PR in NZ unless you have recognised qualifications and/or enough relevant work experience. If you have an Indian qualification you would probably need to have it assessed by the NZ Qualification Authority (NZQA). They will tell you if your qualification will be recognised in NZ and at what level it compares to a NZ qualification. From that, you will see how many points you can get for it.
This is the page on the
NZQA site where it tells you about studying and working in NZ and you may find some useful information on there.
This is the
Guide and Application Document from the NZQA for assessment of international qualifications.
You can get work in NZ without having a NZ qualification but, if you haven?t got a recognised qualification from another country or enough relevant NZ work experience, your job might not lead you to PR. You may be stuck with working on a Work Permit.