If I were you, I would repost to the Pre-Pharm thread. That's where questions like this are generally answered.
However, being a veteran myself and a user of the GI Bill, you will likely get the answers you are looking for by contacting the VA. As eligibility for benefits and for transferring to spouses has been in flux the last 2 years, you should start there.
Once you figure out what you're eligible for and whether you can transfer to your spouse, the getting reimbursed part is pretty straight forward. You apply for eligibility, give this to the VA rep at the school, then VA cuts a check for disbursement directly to the school. If you are eligible for any additional such as housing allowance, book allowance, etc, VA would send these checks directly to you.
Any questions beyond that, go to the VA website. They are the only ones that can give you a definitive answer.