Before you mark this one as a duplicate, I have indeed seen similar questions here but they do not provide the direct answer I'm seeking.
Here are a few details:
I've taken google as an example because it uses SSL.
I am using my own device on their wifi network, so there is no possibility of a fake CA being installed on my system?
The padlock icon indeed is active, when I visit googleGoogle, and shows the correct certificate.
So, can I be sure that they are not able to see my googleGoogle searches?