I am INDIAN travelling from Doha to visit family in Hongkong. Can I get a visa for at least a month?

Louella, you needn't apply one. Indians enjoy 14 days free access to HK. When the first 14 days end, you can visit Macau and then get back to HK to get another 14 days. But please do not do this frequently because the immigration might think that you make use of this policy to avoiding entry permit.