Google only provides an index of web pages. It hasn't got a clue as to what's inside the databases (of flight times and fares, for example) which can be accessed via those web pages.
If you're looking for a flight (rather than for a package deal) the trick is to start by googling to find the web page of your
destination airport or, often far better, the Wikipedia page for that airport That will show you a list of all airlines operating to/from the airport.
For example, let's assume that I want to fly to Amsterdam. Googling 'Wikipedia Amsterdam Airport' quickly finds
http://en.wikipedia.org/wiki/Amsterdam_Airport_Schiphol
Click on 'Passenger', under 'Airlines and Destinations', takes me down to here:
http://en.wikipedia.org/wiki/Amsterdam_Airport_Schiphol#Passenger
I can then quickly see which airlines operate from airports close to me and hence go to their individual websites to search for flights.
Easy peasy!