I'm a little late to the party with this one. The blog in question was featured last month in the Wall Street Journal.
But if you haven't seen it, you should click around a bit. It's called Generación Y. It's written by an unorthodox Cuban woman, in a place where orthodoxy is everything.
She lived in Switzerland from 2002-04, but ended up moving back to Cuba. Now she posts about daily life in what she calls "Stalinism with conga drums."
The Journal notes that the $3 she pays for half an hour of Internet access is nearly a week's wage for many Cubans. And of course, in a society where freedom of expression is sharply curtailed, there's no guarantee that she'll be able to keep posting.
It's written in Spanish, though some entries are available in imperfect English by clicking on the "versión al inglés" link at the top of the page.
If you're looking for a place to start, I recommend "Un día sin mercado negro." (English version here.)