Not regarding finding a full time job, but important: Investigate your health care insurance options, if you are in a governance that does not provide or guarantee coverage (e.g. U.S.). You may be able to continue on your parents' policy for some period of time. If not and you find you have to purchase a policy for yourself (and can afford to), it's better to purchase a policy while you are still covered (with a start date a day or two before your current coverage lapses). If nothing else, there are (or used to be) high deductible and/or temporary policies that at relatively low cost can provide some coverage against catastrophic events.

I don't know whether schools and career centers cover this topic much, but they should.

P.S. As I've commented before, it's not just about you. It's also a matter of protecting loved ones, who may feel compelled to spend their assets caring for you if something unfortunate and expensive happens to you. In that sense, even if you don't have money to pay the deductible amount yourself, a high deductible policy can make sense in that your family may be able to help you financially to that extent, while the insurance protects against the really big bills (and also, as others have noted here, negotiates lower charges for services so that you don't pay the ironic/perverse "highest possible costs" that the uninsured often face due to lack of negotiating power).