Are there two types of pregnancy blood test? and what's the difference?

Yes: Both tests check to see whether the pregnancy hormone, known as HCG (human chorionic gonadotropin) is present. The qualitative HCG simply gives a result as to whether any HCG is present or not. The quantitative HCG test actually measures the level of the HCG in the blood. This can be helpful in diagnosis of abnormal pregnancies such as ectopic, molar, or miscarriage.

Urine and Blood: Beta HCG levels can be measured in urine and blood for diagnosing pregnancy, blood test is more sensitive and turns positive sooner than urine test.