'She graduated from college' and 'She has graduated from college' give you exactly the same information, but they refer to different time periods.
'She graduated from college' is past simple, and it tells you something about past time. If you use this tense, you mention or imply a specific past time. For example: '2010 was an important year for Mary. She graduated from college, started her first job, and got married.' All of these events are fixed in the past.
'She has graduated from college' is present perfect, and it tells you something about the present. For example you might ask 'How's Anna?' and receive the reply, 'She's fine. She has/She's graduated from college now, but she hasn't found a job yet.' This describes the person's present situation.
Note that you can never use a present perfect construction with past time reference. You can say, for example, 'She graduated five years ago' or 'She graduated last summer' or 'She graduated in 2014', but you cannot use 'She has graduated....' with any of these time references.