Yes, Call of Duty: Black Ops is a first-person shooter game.
This means that players experience the game from the perspective of their character, seeing the world through their eyes.
The entire series, including Black Ops 1, 2, 3, 4, and Cold War, are all first-person shooters.
However, Black Ops: Zombies mode does include a third-person camera option in certain situations, such as when using the "Wonder Weapon" or when interacting with certain objects.