It is a text file with conventions. A hash starts a heading, a dash starts a list item, asterisks mark emphasis, square brackets and parentheses make a link.

The whole syntax, nearly
# A heading
## A smaller heading
Normal text, with **bold** and *italic*.
- A list item
- Another one
[A link](https://example.com)
That covers the great majority of what anybody writes. Tables, quotations and code blocks exist and are learned when needed.
The point is that the source is readable as it stands. Somebody who has never seen the format understands the file without being told anything.
| Property | Word processor | Plain text with markup |
|---|---|---|
| Readable without software | No | Yes |
| Meaningful version differences | Poor | Yes |
| Precise layout | Yes | No |
| Converts to other formats | Awkwardly | Cleanly |
| Opens in forty years | Probably | Yes |
Why people use it
It does not rot. A text file opens in anything, forever. Proprietary document formats need their program, and the program needs a licence, and eventually a version that still runs.
Differences are meaningful. Two versions compared show the sentence that changed. Two word processor files compared show that the files differ.
It converts. One source becomes a page, a fixed document, slides or a word processor file. Nothing is written twice.
It gets reviewed. In a code project it sits beside the code, so documentation goes through the same review as everything else, which is the only arrangement under which documentation stays current.
What it cannot do
Layout.
There are no page breaks, columns, positioned images or precise spacing. That is not a gap in the format; it is the trade. Structure is described and appearance is decided by whatever renders it.
If the document is designed, with a layout that has to hold exactly, use a design tool. If the document is structured, headings and paragraphs and lists, this is the better container.

Publishing it
Readers should not see the marks.
Render it to a page and publish that. The headings become headings, the links become clickable, and the reader gets a document rather than a file full of punctuation.
The source stays where you keep it, and regenerating the page is how a correction is made.
Closely related: Turning Markdown into a document, and What is a CSV file for the adjacent problem.
Put it at an address
Open it in any text editor, learn the four marks that cover most writing, use it for structure rather than layout, convert instead of rewriting, and publish the rendered page rather than the source.