Since the time is already displayed on a single post page, I’ll assume you want this for the home page, and possibly archive (and category) pages.
For the default theme you want to edit its index.php or Main Index Template. Information on editing a theme, or files in general related to your WordPress installation, can be found here:
https://codex.www.ads-software.com/Editing_Files
In the index.php look for this line:
<small><?php the_time('F jS, Y') ?> <!-- by <?php the_author() ?> --></small>
It’s a little different than your average theme’s inclusion of the_time(), since it’s passing a date format string as an argument (i.e. 'F jS, Y'
). We can adjust this string so it displays both the date and the time:
<small><?php the_time('F jS, Y @ g:i a') ?> <!-- by <?php the_author() ?> --></small>
That will display the date/time as:
January 14th, 2006 @ 12:01 pm
For archive and category pages, edit the default theme’s archive.php (first Archives on the theme editor page), look for:
<small><?php the_time('l, F jS, Y') ?></small>
and make the same change as above to the argument passed to the_time().