I would argue you don't need to "learn" HTML5. As Grif said, he can do it in his sleep, as can I. It's a mark-up language, not a code in the traditional programming language sense.
I've had some experience with Google's website builder, and it is fairly accessible. Remember that Google's main domain name will still be in your domain name so long as you go down the free route. You will also not have a clean slate. Google's site will still be embedded into your site. I'm not sure if that changes if you pay for your own domain and host it on Google's servers.
My setup at this point is hand coding HTML5 and hosting my site on GoDaddy. I pay $20 every three months and I get 100GB for all the space I need. I just host several small pages with a database for music for the alumni of my old high school choir.
It's very plain, but I don't need the bells and whistles that most sites have. I'm not trying to attract new people by grasping them with shnazzy colors, but those are just my circumstances.
W3 schools was already mentioned, and I will bolster that suggestion. It's easy to grab some tags off of sections on their site, and like I said, HTML is a mark-up language, so it's just tags and end tags, nothing too confusing if you can manage nesting.
Luke
What game will hadi.gsf want to play next?