A Blood Glucose meter where a tiny amount of blood is taken from a finger prick test will certainly help you work out what foods affect your blood sugar levels. Whether one is supplied to you by a clinic does seem to vary for Type 2s; many opt to buy an SD Codefree meter as this is generally reckoned to be the cheapest to run if one is not supplied to them via the NHS.
There are two issues with urine tests. 1. They only tell you when your blood sugar is above about 9 mmol/l, which is already quite high, and 2. It is a test of what your blood sugar was like when your body produced the urine and stored it in your bladder, not at the point of release, so is not useful if you're looking at what foods to reduce.
OK, there are actually 3 issues. Blood sample tests are way more convenient to do in public.