We never seem to see any beings of Yoda's species - except, of course, Yoda himself.
This leads us to the question of where the rest of the li'l critt'rs are. Yoda had to have parents, correct? So what happened to them? Was Yoda, put simply, just one of the last of a dying species?
We don't know much about Yoda's species. Their homeworld remains unknown and even the species' true name is not recorded yet. So its fate is a mystery.
For reasons unknown, George Lucas maintains a strict policy of keeping the history, name, origin, and whereabouts of this species secret. This policy has resulted even in certain Star Wars publications being cancelled.
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Prior to the creation of Yaddle for The Phantom Menace, Lucasfilm actively discouraged licensees from exploring Yoda's species, wishing to avoid confirming that an entire species of Yoda-like individuals even necessarily existed.
We don't know if Yoda was the last of his species, but, as far as we know, he is the last canonical member of them to die.
As for his parents and ancestry, this is our only clue:
When asked what species Yoda is, Lucas has only joked, "He's a frog." In the documentary "From Puppets to Pixels", he even joked that Yoda is "The illegitimate child of Kermit the Frog and Miss Piggy".
As for was Yoda the last of a dying species - NO
Limiting to the movies itself there was Yaddle, the other Jedi on the Jedi council, from the same species as Yoda
as for being the last one to die I am not very sure when Yaddle died so I'll go with the obvious one - Grogu, who we first meet in Episode 1 of The Mandalorian (2019) which is set way after Yoda died.
Further going into Legends in Yoda's species we have Vandar Tokare(died before Yoda) who was a powerful master who too sat on the Jedi council, and then there were -
A fourth Jedi Master of said species, Oteg, served during the Cold War. A fifth, lesser-known Jedi of this species, Jedi Knight Minch, served the Jedi Order around 700 BBY. Although little is known about him, he proved himself quite able in the ways of the Force when he single-handedly defeated a Dark Jedi Master in combat. In contrast to the other four masters, who had all shown exceptional calmness and self-control at all times, Minch had a slightly more fiery temperament and was known to have once lost his cool when subjected to Dun Möch.
So basically we have met individuals from Yoda's species other than Yoda himself.
As for Yoda's backstory the other answer addresses it.
