For file and/or printer sharing you might consider configuring both computers to be members of the same Windows HomeGroup. This appears to be a classic application for it.
http://windows.microsoft.com/en-us/w...tart-to-finish
The internet connectivity issue is likely something different. The "five bars" indicate a wifi connection between the computer and the wifi access point, not connectivity to the internet. There's not really enough information about your home network topology in your post to troubleshoot this.