Yes,the writer was narrating his story himself.
Narration is the use of a written or spoken commentary to convey a story to an audience.[1] Narration encompasses a set of techniques through which the creator of the story presents their story, including:
Narrative point of view[2]: the perspective (or type of personal or non-personal "lens") through which a story is communicated
Narrative voice[2]: the format through which a story is communicated
Narrative time: the grammatical placement of the story's time-frame in the past, the present, or the future.
A narrator is a personal character or a non-personal voice that the creator (author) of the story develops to deliver information to the audience, particularly about the plot. In the case of most written narratives (novels, short stories, poems, etc.), the narrator typically functions to convey the story in its entirety. The narrator may be a voice devised by the author as an anonymous, non-personal, or stand-alone entity; as the author as a character; or as some other fictional or non-fictional character appearing and participating within their own story. The narrator is considered participant if he/she is a character within the story, and non-participant if he/she is an implied character or an omniscient or semi-omniscient being or voice that merely relates the story to the audience without being involved in the actual events. Some stories have multiple narrators to illustrate the storylines of various characters at the same, similar, or different times, thus allowing a more complex, non-singular point of view.
Narration encompasses not only who tells the story, but also how the story is told (for example, by using stream of consciousness or unreliable narration). In traditional literary narratives (such as novels, short stories, and memoirs), narration is a required story element; in other types of (chiefly non-literary) narratives, such as plays, television shows, video games, and films, narration is merely optional.
Narrative point of view
Narrative point of view or narrative perspective describes the position of the narrator, that is, the character of the storyteller, in relation to the story being told.[3] It can be thought of as a camera mounted on the narrator's shoulder that can also look back inside the narrator's mind.
First-person
With the first-person point of view, a story is revealed through a narrator who is also explicitly a character within his or her own story. In a first person narrative, the narrator can create a close relationship between the reader and the writer.[4] Therefore, the narrator reveals the plot by referring to this viewpoint character with forms of "I" (that is, the narrator is a person who openly acknowledges his or her own existence) or, when part of a larger group, "we". Frequently, the narrator is the protagonist, whose inner thoughts are expressed to the audience, even if not to any of the other characters. A conscious narrator, as a human participant of past events, is an incomplete witness by definition, unable to fully see and comprehend events in their entirety as they unfurl, not necessarily objective in their inner thoughts or sharing them fully, and furthermore may be pursuing some hidden agenda. Forms include temporary first-person narration as a story within a story, wherein a narrator or character observing the telling of a story by another is reproduced in full, temporarily and without interruption shifting narration to the speaker. The first-person narrator can also be the focal character.