I used Gazespeaker with Tobii Eye X.
When trying the Google search tool, I enter the keywords with the Virtual keyboard and went to the Google search icon. I got a result page but did not find the way to select one of the result to go to the internet page. (It works if I click with the mouse but not with the eye controller).
There is a button down on the left (a box with an arrow):
-> when you select this box, you switch between scolling mode (the page scrolls according to your gaze) and the click mode (the mouse is moving according to your gaze and a mouse click is performed when your gaze dwells on the same place for some time, i.e. same timings as the cell activation in the grids)