Ethernet connection question

Hello, I just got a new wireless gateway, I'm connecting my computer with ethernet cable, when I check the status of my network, it says that I'm connected to Network 2. In my old modem which the PC also connected via ethernet  it used to say that I'm connected to the name of my WIFI network. So is it normal to see that its connected to Network 2 and should I change it and if yes how? 

Thanks