Anesthesiology

Hello Pratiksha, You have completed your B.Sc Nursing and us now looking to do some specialization. Right? Of course, you must and you should. It will enhance your career prospects a great deal. For doing some such courses some institutes insist on experience of at least one year and registration with the Indian Nursing Council. Best wishes to you.

Eligibility:
MBBS degree recognised by the Medical Council of India. Selection of eligible candidates is based on the rank obtained in the national level entrance National Eligibility cum Entrance Test Post Graduate (NEET-PG)
Therefore, you cannot join DNB as you are not eligible.

General Anesthesia. General anesthesia is an anesthetic used to induce unconsciousness during surgery. The medicine is either inhaled through a breathing mask or tube, or given through an intravenous (IV) line. A breathing tube may be inserted into the windpipe to maintain proper breathing during surgery.
You can learn it more from below mentioned site:
https://www.google.com/url?sa=t&source=web&rct=j&url=https://www.hopkinsmedicine.org/health/treatment-tests-and-therapies/types-of-anesthesia-and-your-anesthesiologist?amp=true&ved=2ahUKEwiao_KjyZriAhXYVisKHZZnCNgQFjABegQIEBAE&usg=AOvVaw3U1gQ_PKH0AsRi3DFI5VKf&cf=1
Hope this helps you.

Please specify the Ccllege.

Eligibility for B.Sc in Operation Theatre and Anaesthesia :
Minimum 50% required in 12th with Mandatory Subjects : Chemistry, Biology, Mathematics
For more details : https://www.shiksha.com/medicine-health-sciences/paramedical/course/b-sc-in-operation-theatre-and-anaesthesia-technology-apollo-institute-of-hospital-management-and-allied-sciences-ayanambakkam-chennai-175710

Yes.
NEET is required for doing B.Sc in Anasthesia technology and Audiology and Speech Therapy!