My brother got US Citizenship this month. I would like to apply Green Card using my brother's citizenship.Is it possible ? How long it will take . Now I am holding H1B.

This is usually not a feasible option. To see how long it would take, look at the Visa Bulletin: 

http://www.immigration.com/newsletter/vbarchive.html

You will note that it will take more than a decade to get a green card through family-based category 4. You are not permitted to stay in the USA just because this application is pending.