With so little information is difficult to know what can happen.
- Do you connect to your router with cable or WiFi?
- When you can not connect to Steam, you can browse the Internet normally, or not?
- When you say that Chrome does not work ... is that it displays web pages, or you can not even run.
- If Chrome runs successfully but shows no web, with another browser (IE, Firefox ...) you tried to see if you can navigate without problem