If you're interested in the differences in the molecular biology:
Gilbert's syndrome involves a mutation in the promoter sequence for UGT, which leads to decreased production of the functional enzyme.
Crigler-Najjar involves genetic mutations within the enzyme that results in either a completely dysfunctional protein (C-N I) or a protein with minimal activity (C-N II)
A very tricky way to test this would be to show a western blot of a patient with C-N 1 vs Gilbert's. The gilbert's patient would have a thin band at the proper molecular weight while the CN patient would have a thicker band at a smaller molecular weight (due to truncated protein due to nonsense mutation but same level of production).
I'll echo the others in that clinically, Gilbert's is completely benign and only noticeable after fasting or illness; while in C-N II you have to induce UGT with phenobarb as a neonate or you are in trouble; and in C-N 1, phenobarb does you no good because the protein has absolutely no activity no matter how much you induce it.