The first app is "Gospel Library." Its produced by the church, so the quality is good and you can trust that the content is accurate. I start with the scriptures, typically the Book of Mormon. After 30 min or so of reading that, I click the "pages" tab on the bottom of the screen and open a new page. I then read a conference talk or two, sometimes three. I've started with the oldest ones in the library, which are from 1990, and plan to work my way forward.
I sometimes also use an app call "Citation Library" which holds every talk or discourse, organized by their scripture references. For example, if you wanted to read something about "Faith" you could a search for that keyword and pull up dozens, probably even hundreds, of talks about faith. The other way to search is by scripture. If I look up 1st Nephi 3:7, I see that there are dozens of talks, from Henry B Eyring's "Trust in God, and then Go Do" to the teachings of the prophet Joseph Smith. The app automatically sorts the results by publication date, and when you select o it brings you right to the part of the talk where they cited that scripture. Its amazing in sunday school. If the teacher has someone read a scripture out loud you can look super smart. I love being able to say "In the April Conference in 2007 President Monson talked about this. He said..." and read the passage. It adds a lot to the lesson, and makes you look like a scripture genius.
More just lookin like a smarty-pants, than I've found that reading some of these talks in their entirely helps create a theme to your study time.
Most of all, I try and pray for help to read something that will affect me for the positive, something I can apply in my life today. When I read with that intent, I never fail!