Google news is an aggregation of news from various media outlet's websites. Its not going to kill newspapers, but Google news and Internet news in general is conditioning people to expect to get news for free.
In the past, newspapers were subsidized by advertising and subscribers. Unfortunately, Internet advertising is not nearly has effective as print. Sure, ads can be targeted to specific audiences, but they can be blocked, and many savvy Internet users are conditioned to ignore advertisements. Newspaper advertisements are unavoidable, and the randomly placed.
So if people expect to get news for free and the advertising is ineffective, tell me how the Internet and e-readers lead to a promising future for newspapers?