Micro.blog is a social timeline, similar to Twitter, where you can post short snippets of text with links and photos, and converse with others. The biggest difference from most other social networks is where these short posts come from. They come from people’s own websites, where they control the content and can do whatever they like. Micro.blog aggregates its feeds from each member’s personal site and gives people chances to reply and favorite content on the the service.
"people's own websites" can be their own site powered by whatever they want (WordPress, Squarespace, etc.) But, they can be powered by Micro.blog too as Micro.blog has a blog hosting option built-in.