not a chance and I think they are positioning themselves to get into other areas like email, browsers, phones, and operating systems - all which will keep them in the forefront of the computing and internet world for a long long time.
In the 90's IBM was considered the biggest IT corporation in the world...everything comes to an end innevitably and so will Google unless they turn into a monopoly (which is against the US market regulations).
Google will not die. Forget about it. Google is the only search engine which provide above 90% services free of cost. By using Google services you can earn huge money. Even Every service of Google is so fast, just blink of eyes.