`a true fact' and `a free gift' are pleonastic expressions.
Examples of pleonastic
pleonastic
Both sentences are grammatically correct, but the word that is pleonastic in this case.
From the en.wikipedia.org
In many cases of semantic pleonasm, the status of a word as pleonastic depends on context.
From the en.wikipedia.org
The second sentence, which omits the pleonastic it is marked as ungrammatical although no meaning is lost by the omission.
From the en.wikipedia.org
They are rendered in ways that best fit the immediate context or omitted in translation without a footnote when deemed pleonastic.
From the en.wikipedia.org
While Humphrey reeled garrulously from one position to another, Nixon glided over issues with skillfully pleonastic evasions, often taking no stand at all.
From the time.com
Many speakers of English use such expressions for possibility in general, such that most instances of such expressions by those speakers are in fact pleonastic.