T.C.
I was pushing my 1st grader earlier in the school year to read more by herself when we sat together with her books, and she announced that she "likes reading with Daddy better because he reads to her." I was conveying this story to our school's director (mostly for what I thought was the humor of it) and he surprised me by saying that at this age we SHOULD be reading TO our children. This is the age where kids learn whether or not reading is fun and enjoyable.
As hard as it was, I backed off and my daughter has stunned me with her progress. There is plenty of evidence out there to support the proposition that reading by the 2nd grade is the real norm, not this overachieving idea that kids should be reading chapter books in 1st grade by themselves. Is your daughter seeing you read on a regular basis? If you push her into a "program" this summer, make sure you do the same thing to yourself.
Regarding your daughter's teacher, she might just have been reassuring an anxious parent to get rid of you. =-)