Who is the first person who built the hospital? and when were it built?

The Sushruta Samhita of Sushruta appeared during the 1st millennium BC.

The Chinese pilgrim Fa Hsien (ca. 337 - 422 AD) wrote about the health care system of the Gupta empire (320 - 550 AD) and—in the process—described the institutional approach of Indian medicine which is also visible in the works of Charaka, who mentions a hospital and how it should be equipped.

http://www.answers.com/topic/ayurveda

The roots of ancient Indian surgery go back to more than 4000 years ago. Sushruta, one of the earliest surgeons of recorded history (600 B.C.) is believed to be the first individual to describe Rhinoplasty. The detailed description of the Rhinoplasty operation by Sushruta is amazingly meticulous, comprehensive and relevant today.

http://www.ispub.com/ostia/index.php?xmlFilePath=journals/ijps/vol3n2/rhino.xml