In Western thinking a big difference exists between reality and truth.
Reality is difficult to define. Reality denotes the world outside and its facts. As Wittgenstein states in Tractatus Logico-Philosophical:
The world is all that is the case. The world is the totality of facts, not of things.
Truth is a property of propositions, mostly propositions claiming facts. Hence truth lives in a completely different domain.
"It rains today" is a proposition which claims a fact. The proposition can be true or false. On the other hand, facts are not true or false. Instead, they are or they are not.
See also What is the difference between Fact and Truth?
In Eastern thinking, e.g., in Hinduism, truth is considered something which can be discovered in the world like a treasure. Moreover, truth can be realized. But I did never understand what it means to "realize" a truth.