HSV is often not part of routine STD testing. Generally bacterial based STD's such as chlamydia and gonorrhea are what are tested.
Because viral testing involves a certain time period between exposure and testing. Testing for bacterial based STD's involves looking for the actual agent while testing for viral based STD's (in the absence of an outbreak) involves checking for specific antibodies the immune system begins to develop after transmission has taken place. This involves waiting up to 3 months after a potential exposure.
If you are concerned the boyfriend is also infected, he needs to get tested also.