Hi Friends,
I wish that this answer be the best advice for your career, I suggest you push your career in Digital marketing because SEO is just a part of Digital Marketing. If you are a computer science graduate or have any background in IT then you can easily understand the concepts of SEO, but it doesn't mean it a critical thing.
You can start your career in SEO by doing an internship at any Digital marketing institute in your area at least you should complete 3 months there, its the best possible way to start your career.
Or you can Learn SEO by Doing Digital marketing training at institutes, it may cost 15 K- 25 K for the training, whatever you do you should have a keen interest in the field and always have a mind to update the online strategies and technical aspects.