Not connecting to the internet.

Hi.I am encountering this problem:Every time i try to connect to the internet i get connected to the router but not to the internet.Message:Access:local only.My ISP tried to solve the problem but did not succeed.This is what happened:I recently changed my ISP and they came and installed their router or modem or wireless device or whatever it is called.As i said it is saying connected but local access only.The ISP technician connected me to a network called test(ie he tested to see if i can connect to the internet and i did). He told me to change the name of the network which i did and also use a password and the try to connect.I am still not being connected. He told me how to reset wireless device which i did and will call me back, but he didnt. He said that this is something very peculiar how can i connect to the network named TEST and go on to the internet, but not to the network that i am connected to. Here is something else to note i have not disconnected my old ISP and this works perfectly no problem at all.I am running Windows Vista.Can anyone help?