Am I pregnant?

My immediate thought was that it was "morning sickness," a symptom of pregnancy. This seems impossible because I haven't been missing my period. If I did conceive, it could have happened only during last week. Wouldn't it be too early to tell? Also, are there pregnancy tests available at the Health Services in John Jay? If so, for what charge? Is it confidential? Do you recommend the store-bought home tests? When would those become effective (i.e., how many days/weeks after conception would the testing be accurate?)