How does Google Tag System work?!

Greetings everyone.. I am freshman here =)
I am experiencing some issues with google tags…
There is a facebook group of mine that represents mine company. So, i would love to make when someone types (for example) my name on the google browser, then, i would love that my facebook page pops out there on the first page of the results (if its possible to be first or second one). I hope i wrote it right. If you can help me, please do, i would appreciate it..
P.S I have tried with google tag…

How does Google Tag System work?!