|As far as the "is this a virus" part, what you have described here sounds like what we call a "browser hijacker". Super high-power computer gurus generally don't categorize this as a "virus" per se, we generally consider it "malware" a.k.a "malicious software." But since so many people in the general public use the term "virus" to mean "any software that is messing up my computer and got onto my computer without my knowledge", I suppose you could call it a "virus" if you define the term "virus" that way.|
All this aside since "naming" the problem doesn't "fix" the problem, regardless of what you really call it, although sometimes proper terminology does help solve the problem when conducting web searches, etc.
Obviously, I'm guessing that you want to get rid of whatever the heck is causing this. Most anti-malware programs such as Norton (which works for some people, but is certainly not my personal favorite), McAfee, etc. should be able to hunt down and destroy this for you. Or at least this would be the place to start. My person favorite program for doing this is PC Tools "Spyware doctor". I don't work for that company or anything, it's just that of all the anti-malware programs, I've personally had the most success with this one, and the fewest problems. It is usually important that these programs be current with all updates.
In the event that such a program does not fix the problem, it may be possible that such a program is sufficiently new that the malware (or virus if you like) does not appear in Norton's (or McAfee's, or Spyware doctor's) database of known malware. These programs don't just "know" malware when they see it -- they compare all software on your computer with known malware programs, generally speaking. Also, some malware is designed to interfere with your anti-malware software. This is generally not the norm, but certainly not unheard of.
In the event that McAfee or Norton, or whatever doesn't solve the problem, it is also useful to observe exactly which website are you being redirected to. If any link on google take you to a website called "CoolWWWsearch" or "ShoppingDirectWebHost" or something of that nature, this is useful information. One might (on a computer with a working internet browser) type in "get rid of CoolWWWsearch hijacker" or "get rid of ShoppingDirectWebHost", whichever applicable.
Please let me know if this info is helpful!