You must already have a subscription to the Church News or to Deseret News. You can also purchase an electronic subscription. The Church News contains information about recent events in the Church. The online version of the Salt Lake Tribune. There frequently are articles about the church found here.
Some people prefer the slant of a non-church owned newspaper.
An extremely useful and well done site. The web page for KSL, the Church's TV and radio station. Frequently information about the church can be found here. It also has a page with nothing but news relating to the church. The news contains the text of the articles published in the BYU newspaper, the Daily Universe.