If it's just a standard HTML page, and not a CMS like Wordpress, Drupal, Joomla, etc.
One way to do this is to upload the mp3 file to your web hosting file area, and then place a link on your page pointing to the mp3 file on the web server. This wood allow them to download the mp3 file, and play it.
There are other ways, but this one is a simple one, that may work for you.
There are all sorts of players that you can use to do this. Some are harder then others to setup. The best way to find one you would like to use, is to Google "Embedded Audio Player" then look for the one that will work on the type of page you are wanting to use it on.
There are also Podcasting services that have there own embedded players for there service, like PodBean.com.
There's a link at the very bottom of there home page, that shows there embeddable players
Like I said, there are lot's of ways to go, but I hope this gets you started.
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