Yes, Buddha's first sermon was at Sarnath.
Brahma Sahampati asked the Buddha to teach the Dharma after his enlightenment by presenting him with a golden wheel. He then travelled to Sarnath and gave the first teachings on the four noble truthes.
The holy land of Buddhism is traditionally considered to be India, specifically places like Bodh Gaya where Gautama Buddha is said to have attained enlightenment. Other important sites in Buddhism include Lumbini in Nepal (Buddha's birthplace) and Sarnath in India (where he gave his first sermon).
That's a good question. From my research there are two answers , the first is Not Too Much and the other is somewhat.What I mean is this. The core of the Buddha's teachings have remained unchanged for over 2,500 years. All Buddhists agreed to what the Buddha taught and what it means. There is no disagreement to this. So all Buddhists fundamentally believe the same things. This is what I mean by Not Too MuchAs to Somewhat, the how of how Buddhism is taught and some supplemental teachings incorporated into one path of Buddhism do exist now and not originally. The Theravada lineage and the Mahayana Lineage of Buddhism are distinct in some ways. Mahayana Buddhism incorporates teachings and wisdoms from later Buddhas and Bodhisattvas that Theravadeans do not fully recognize. But these newer teachings do not fundamentally change Buddhism, they explain or provide illumination to the Buddhas teachings. The teaching methods used are different between the two lineages also. But this, as I have said, is mostly window dressing compared to the fact that the core is always the same.
Buddha was born in Lumbini in Nepal but taught Buddhism for the first time in Sarnath near Varanasi in India; either of these might be taken as the place where Buddhism started in the current era.
Bodhgaya. Where Buddha meditated under the tree. The Deer Park in Sarnath (modern Varanasi). Where Buddha preached his first sermon.
He is the founder of Buddhism and its first great teacher, and the first Buddha. He established the fundamental teachings and philosophies of Buddhism.
The complete teachings of the Buddha were first written down in Sri Lanka, at Alu Vihare.
After an enlightenment Buddha has delivered his first discorse to five Ascetics at Deer park, Sarnath near Varanasi, INDIA. Therefore this place is called as Birthplace of Buddhism.
The Buddha was born in Lumbini which is just on the Nepal side of the Nepal/Indian border, the Buddha taught throughout the North of India during his life, however the first Buddhist teachings in this era took place near the holy city of Varanasi (Benares) when the Buddha taught in the deer park of Sarnath.
In a deer park in Sarnath, near the Hindu and Jain pilgrimage site of Varasani in Uttar pradesh,India.
sarnath
Buddhism is a religion based on teachings attributed to Buddha. Before him, there was no other. By definition a founder cannot be the first follower.