While there's no definitive record of the *absolute* first person to view the moon through a telescope, Galileo Galilei is widely credited with being the first to make significant observations and publish them.

Here's why:

* Early Telescopes: Telescopes were invented around 1608, but they were basic and primitive.

* Galileo's Contributions: Galileo significantly improved telescope technology, allowing him to make detailed observations of the Moon, its craters, and mountains. He published his findings in 1610 in his book *Sidereus Nuncius* (Starry Messenger).

* Other Early Observers: While it's possible others used telescopes to view the Moon before Galileo, their observations weren't as detailed or publicly documented.

So, while we can't definitively say who was the absolute first, Galileo's contributions to telescopic observation and his detailed published account make him the most significant figure in the early observation of the Moon.