They told me that whilst I enjoyed looking at books and being read to, it was not until I reached school that I began the process of learning to read.
This is a stand alone sentence, it's fine as it is. "a story at bedtime was a nightly occurrence and something that I will always look back on with great affection"
This is additional information and the right way to present it is as you have done, between commas.
Student or Learner