Maybe I could have actually answered the question! ...lol So, to the original poster,
Learning the classical guitar can be a challenging endevour. In my decades of teaching (to include professionals), I've never once met a student that simply needed to learn how to read, but had no other issues to address. The classical guitar is unique in that it requires far more out of the left and right hand than in many others styles and instruments. With that being said, a comprehensive approach is usually taken to include reading. Under the guidance of a competent teacher, a student establishes fundamentals in music, musicianship, and technique. Students also work together with a teacher, learning new effective and efficient work methods. They also learn techniques for playing with security and confidence.
With all of that said, my recommendation is to seek out a competent teacher that emphasizes the importance of habits, and gradually introduces you to material that is challenging but well within your grasp. If you were to try this without a teacher, then I would recommend Aaron Shearer's Learning the Classic Guitar Parts 1, 2, and 3. The books were never meant to be used without the guidance of a competent teacher. Ironically, it is my opinion that they are the best books for someone without a teacher. The books are intended to be used together. Along with the gradual and easy music reading you seek, is useful information information for developing a good seated position, understanding how the hands work best together, the mechanics of the hand, advice for finding a competent teacher, slow careful practice, how to play musically, and so much more.
The introduction of notes is introduced in a manner that is logical to the guitar and are coupled with fundamental movements of either the left or the right hand. Students are given the much needed time to give undivided attention to one new concept at a time. Once a student is reading on 3 strings, I recommend supplementing the material with Juilio Sagreras Guitar Lessons: Book 1.
As a student is almost finished learning the six strings and is almost finished with the first 37 exercises in Sagreras, there is now a wealth of repertoire to choose from spanning hundreds of years to include contemporary music. The Royal Conservatory of Music has a wonderful collection of graded repertoire. Preparatory Guitar Repertoire and Studies, Bridges: A Comprehensive Guitar Series is a great book to get into. In addition, there are footnotes in the music so that students can easily begin exploring more of the repertoire with confidence that the material is not too easy nor too difficult. After than book are 8 more levels of graded repertoire.
After a student is well into the repertoire books, has completed the first 37 Sagreras exercises, and is reading on all 6 strings, it is not necessary to fully continue in Shearer page by page. It is my opinion that the left hand becomes too difficult too quickly for the concepts that are being taught. Regardless, there is a wealth of additional pieces for further repertoire and study.
Dr. Todd Tipton, Noda Guitar Studio
Charlotte, NC, USA (available via Skype)