Seriously consider their advice. Get a third and fourth opinion if you can. Proofread, proofread, proofread. Be sure to catch all spelling errors, grammatical weaknesses, unusual punctuation, and inconsistent capitalization. Proofread it numerous times over at least two days to allow a fresh eye to catch any hidden mistakes.
Laser print it on plain, white paper.
Handwriting, typing, dot matrix printing, and even ink jet printing look pretty cheesy. Stick with laser prints. Don't waste your money on special bond paper, matching envelopes, or any color deviances away from plain white. Your resume will be photocopied, faxed, and scanned numerous times, defeating any special paper efforts, assuming your original resume doesn't first end up in the circular file. A cover letter is a chance for the EGL student to highlight their strengths at a more descriptive and personal level than that which can be conveyed through a resume.