If it's only 1 page, then a simple HTML page should do you fine. To make managing easier, you can split up the file into different template files and include them.
My general rule of thumb is 5+ pages means I will install WordPress. But otherwise its not necessary, since then you are just wasting database room, disk space, and bandwidth as well as CPU (it may not be a lot, but it adds up).
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I swear, by my life and my love of it, that I will never live for the sake of another man, nor ask another man to live for mine.
I find that pinging newly created websites works very effectively, and will have you indexed within minutes. I recommend Ping Device if you have a large number of websites/pages that you wish to ping all at once.
Furthermore, link build. Getting indexed does not weight importance. Ranking highly for your targeted keyword(s) does. You will naturally start to rank, but depending on how competitive your keyword(s) is, you'll struggle to make it to the top without a) providing your users with value, persuading other webmasters to link to you b) link building.
None of my one-page websites are running on a CMS.
Cheers, and best of luck!
i think wordpress MU is the best for multiple one page sites