[PhilT2]

Is it your own will you are seeking? If it is not then I don't know that you would be allowed access to it unless the owner is deceased and you are an executor of it.
My siblings and I handled my mum's will without a lawyer, it was a fairly simple process. We were required to place an ad in the state law journal to ensure there were no other claimants or another will by her. If your state has an equivalent journal that may be worth a try, just be aware their fees are significant.
My mum had left her will in storage at her bank; they just required a copy of the death certificate and proof that the request came from an executor named in the will before handing it over. She had told us where it was and left clear instructions who was getting what. It's really helpful to your next of kin to do this; I recommend it even if you're not planning to go just yet.