Yes, Buddha did want to build monasteries throughout India. After he attained enlightenment, he spent the rest of his life traveling and teaching his philosophy to others. He established a community of monks and nuns who followed his teachings and lived in monasteries. These monasteries were built in various parts of India and served as centers of learning and meditation for his followers. The monasteries also provided a place for the monks and nuns to live and practice their teachings. So, building monasteries was an important part of Buddha's mission to spread his teachings and establish a community of followers.
