After a set amount of months all (or some) of your Google info can be shared with a nominated contact. It's not a fun thing to think about, but may make your spouse/family's post-you life a bit easier when they're trying to sort things out.
https://www.google.com/settings/account/inactive
I don't think I'll really care what happens to my data after I die; I'll be dead. So go ahead and make my browser history public after I die.