INTERNET PROBLEM -- NEED URGENT HELP!

Hi people, i have a problem and i didn't know where i should have posted this thread so i thought i would start it here.

My problem is that i bought a new laptop, and after a month my internet keeps on getting disconnected. The wireless network connection icon on the bottom right corner shows me that it is connected. But if i go on the internet or anything else that needs the internet, it would not connect. I use my other laptop, and the internet on that works perfectly
fine.

What should i do and how could i fix this problem?

Thanks people...>>