Any flight time conducted with a QFI on SEP Class aircraft will count towards a PPL or NPPL. However, any 'air experience' flying with a non-QFI will not - it is considered to be passenger flying.
You need to get your log book signed and certified by your OC, indicating how much was flying training time with a QFI and how much was 'air experience' flying.
A minor plus is that the Grob Tutor will also give you a 'VP' (variable pitch prop) endorsement, which is non-expiring for SEP Class ratings.
Once you've done that, either copy each entry into a new 'civil' personal flying log book, or simply carry the total forward into the civil log book. But you will still need to submit both to the CAA when you ultimately apply for your PPL.