This is a question that many new Internet users may have. If you're wondering whether Google has a virus, then you can check here. I'll explain why Google itself is fairly safe, but cover why Google redirect viruses can cause a lot of trouble.
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In short, no, Google does not have a virus. Google itself is a very well protected system and their search page results themselves will not be infected. If that did happen, then it would be major news and you would probably have heard about it long before this. This should answer the first question, for new Internet users who are worried about any website.
They don't use banner advertisements, so viruses can't get in through potential exploits in ads. They also don't have a whole lot of access to your system, just through the search page. Google is generally going to be a safe website.
It is important to note that you shouldn't trust their search results blindly though. They do not scan the nearly infinite number of results that are in their system. So don't just click on a result and expect to be safe. Try to use a preview page feature or install a good anti-virus program that previews the page for you. My personal favorite, AVG, will do a quick scan of Google search results and put nice green check marks on trusted and safe websites. It will also flag websites that have improper security certificates.
Of course, Google may seem to have a virus for an entirely different reason.
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Google Hijack Viruses – When It Looks Like Google Has a Virus
This is one of the things that will really make it seem like Google has a virus. If you have a Google hijack virus, then your search results will not be from Google anymore. This is actually really simple to diagnose. You just have to search for some things and then carefully examine the results page. Check the address bar. Does it say “www.google.com?" If it doesn't then you've got a Google redirect virus. Another variant is that clicking on search results won't take you to the page that they're supposed to go.
If this is happening, then it is understandable to think that Google has a virus. The problem is on your machine though.
The virus will reroute you to some other place. Ideally you will then click on their special advertisements, which may infect your computer further or just lead to ill-gained profits for the hacker. Do stop before you panic though. If it's another reputable search engine, then you might have just given a toolbar permission to do this. Some legitimate and many shady add-ons and toolbars take these liberties with your system.
In fact, this is a pretty common way to get a malicious Google redirect virus too. Always read the information carefully when you're downloading any program. You may be giving them permission to manage your search results and effectively give them permission to put this virus onto your system. The good news is that these programs try to stay legitimate, so simply uninstalling the toolbar or program might do the trick.