I have no medical policy and I suffer from hypertension. Will I get a health insurance cover?

Definitely you can get a health insurance cover, but hypertension would be treated as a pre-existing disease and it will get covered only after a period of 4 years. Diseases which occur as a consequence of hypertension will not be covered during first 4 years.
However you get an option in the policy issued by New India and can get it covered from 2nd year onwards by paying 20% additional premium. By paying the additional premium you will get 50% coverage in the 3rd year, 75% coverage in the 4th year and 100% coverage from 5th year onwards.