I don't see any reason why DUI and Driving on Suspended/Revoked License charges would cause any court record to divulge any medical info.
What you're seeing could be a standard line included in the case details that simply indicates that AIDS/HIV testing isn't required Looks like the court decided it as a matter of protocol, since both entries are in the court record at the exact same time (EXON could very well mean defendant is exhonerated from needing such testing for the case to continue)
Cases where the court could require such testing would be, for example, if defendant had committed a sexual assault, or had been injured in an attack and got blood onto a victim or unrelated third party.
This is all just guess on my part, because I'm not familiar with CA court records as well as I am with IL.
NorCal_LEO might be able to give you a definitive answer.