Honestly, you do not have to be exceptionally skilled with the use of computers or anything else for that matter in order to know and use HTML.
HTML, really, just consists of a few simple rules and the knowledge of using tags properly.
Most opening tags have a closing tag, and this is the case for most.
If you are interested in learning HTML, you might want to check out the following HTML cheat sheet:
As for software, I would suggest getting either Adobe Dreamweaver or something similar. This way, each time you create a new HTML page, it will add all the necessary HTML tags and page setup, including your doctype, html, head and body tags for you. From there, you are ready to start using HTML right away.