Will wifi hotspots know your connecting into their server?

Question

we havea wifi signal in our area and we dont want to be caught using their wifi signal.

Answer 1

There is almost always a way to log connections to a WiFi hotspot whether someone actually checks this or not.  When you say "server," I assume you mean Internet Service.

Answer 2

They will, at least i do. All servers big or small automatically list every single connection to them.

They even show what sites have been visited and stuffs like that.