You will need to go to an Apple Store with the following documentation:
1. Your brother's death certificate
2. Proof that you are entitled to the computer. (Typically, a will or other notarized document naming you the executor of his estate)
3. Proof that he owned the computer. (Typically, the original receipt or a statement from the Apple Store where he bought it or from Apple if he purchased it online.)
4. Photo ID proving that you are who you say you are.
If you are able to gain access to the computer, please be aware that you will not be able to access your late brother's Apple ID account. That account and all of its contents will be removed from Apple's servers.