Normal blood sugar for women can go as low as 2.0 on lab testing. It is also worth remembering that home blood glucose monitoring tends to read a bit low, precisely to ensure that diabetic folk treat their hypos, so lab glucoses will be up to 0.5mmol/L higher. We can't rely on capillary blood sugars for diagnosis therefore.
Diabetic folk run sugars a bit higher, as you rightly say, so will experience symptomatic hypoglycaemia much earlier.
The midwife is rechecking the glucose in the urine. Pregnant women can have glucose in the urine without having diabetes because the renal threshold for glucose is lower - more glucose is passed out of the body.
A family history of Type 1 diabetes does not make you more likely to get gestational diabetes, above and beyond having a higher risk of just happening to develop T1DM concurrently with pregnancy. The causes of T1DM and gestational diabetes are different and not related.
If there continues to be glucose in the urine, a GTT sounds very sensible. Indeed, despite what NICE says, many diabetes specialists, including me, think that ALL women should get GTTs during pregnancy, not just 'at risk' ones.
As much as I am amused at people with no knowledge disagreeing with me, I posted to reassure the OP that her midwife sounds like she is taking things seriously.
(FWIW, I agree with you about the DVLA. The rules are arcane and unfair.)