This e-mail asks a company which may or may not be hiring if there are any positions available in your field.
I am writing to inquire if <company name> has any openings in the area of <your field of work>. I am a recent graduate of <your school> with a major in <major or certificate area> and I have long been interested in working for your firm. Of course, being a recent graduate I am aware that only an entry-level position would be open to me, but that's quite acceptable. I'm simply looking for a way to enter a field that I find fascinating. I would love to find out more about any relevant positions you have available. If you are accepting applications, please reply and I can send you a resume via standard mail or e-mail. I have skills and training that I think could be of use to you. Thank you for your time.