Just be careful when you talk about Medium. Always better to say things like “the platform” or “this platform” or “here” instead.
“Curation” means that Medium staff has chosen your post to be distributed. They take your post from wherever it is—on your page or wherever else it is published—and distribute it through the Medium algorithm to all Medium readers, then to all Medium external links like Twitter and Facebook.
This means more people get a chance to see what you are writing. Doesn't necessarily mean they will read it, but it does increase the odds.