Hey, I Want to Work There, Too.
My boyfriend and I each got an internship with the same company, and they offered him a job right after graduation. When I applied for a job there, I was told that I wasn't a "good fit." Although I found a job with a reputable, stable company, I'm not happy. I really enjoyed the work I did during my internship, I liked the environment and got along well - I thought - with my fellow interns (not my boyfriend; he worked in a completely different part of the building) and the regular employees. How can I discover what I need to do to be considered a "good fit" for this company ... study my boyfriend? Or should I just let it go and try find a way to be happy where I am?
It's not unreasonable, given your desire to develop and better understand what is meant by that very loose term "good fit" to go back to either your immediate supervisor or the HR department (whichever you think may be willing to give you the most honest answer) and ask what you might have done differently in order to have secured a job with them after graduation. If you couch this in terms of hopefully working for them in the future and looking for learning opportunities to better meet their needs, most recruiters will willingly share their thoughts with you.
Then, armed with that information, you can look for experiences (and these don't necessarily need to be in the workplace) and environments in which to develop those skills and characteristics the company is looking for in their employees.
I agree with Dr. Alexander. By expressing your continued interest in the company, they may provide you with the information you need to increase your chances of getting hired in the future.
Even if you can't rectify things with the company, it does not mean that you must stay in your current job and remain unhappy. You can certainly begin looking for opportunities that will provide you with similar work as the job you did for the original company. By assessing what it is you really liked about the job and the environment where you did your internship, you can hopefully find similar opportunities with another company that may end up being an even "better fit" for you.