It all depends on the type of tests they're doing. The PAP test does not test for anything other than abnormal cells, doesn't even test for HPV although since HPV causes most abnormal paps, it's a logical assumption, hence the HPV test.
As for the HPV test, if it was an actual DNA test then yes, it should be able to tell if you have a high- or low-risk strain. If it was just a test for HPV in general, maybe not. And even if you have the type of HPV that can go on to cause cervical cancer, different strains have different degrees of risk (some more more 'high-risk' than others). The dna test (if they do it) and the colposcopy should tell you what's up.
Good luck. Just know that most times, this clears on its own