The phrase "one's sweet blog" is not a commonly used phrase, and it seems to be a typo or misspelling. It could possibly be intended to say "one's sweet home" or "one's own blog."
Sentences with «one's sweet blog»
My day to day style, along with links, will now be making it onto the blog in short and sweet blog posts like this one. (daisiari.com)
Reading sweet blog comments always cheers me up on a bad day! (nicoletothenines.com)