I used to work there and it's an excellent program. I'm not sure how you're getting the testing for free as it's normally over $500. They use common standardized tests and should be able to tell you if the results are consistent with dyslexia. Here are some of the tests they usually use:
Peabody Picture Vocabulary
Word Opposites (DTLA)
Verbal Absurdities (DTLA)
Oral Directions (DTLA)
Woodcock Johnson Word Attack
SORT
WRAT Spelling and Computation
GORT 4 and another version of the GORT
Lindamood Auditory Conceptualization Test
Symbol Imagery Test
It's almost unheard of for a 5-year-old to get treatment at a L-B center, probably because of the expense. I think by now it's up to around $80 per hour and generally they do 4 hours a day, 5 days a week for a minimum of 4 weeks (in the summer). Kids who go there during the school year are generally those with more severe problems whose districts are paying for the treatment. It may vary by region but the centers I know of close at 5. I worked with maybe 2 six-year-olds in the several years I was there and they both had severe comprehension issues and were on the autism spectrum.
After testing you may want to look for a private tutor who's trained in Lindamood-Bell or another method that's successful in treating dyslexia.