Did the ping just show the one response? Usually there is a list of 4.
If you see all 4 with similar response times, then that means your computer can resolve IP addresses.
Do you use any security software like Spybot Search & Destroy, or security suites like Nortons or McAfee? Any browser add-ons?
Open My Computer, highlight your C drive, and expand it, (click the + sign next to the C drive).
Navigate to C:\Windows\System32\drivers\Etc, (the sub-folder is called Etc), and highlight that Etc folder. It should list a number of files in the right hand pane. There should be a file there called Hosts. If you cannot see it, it may be hidden, so goto Tools > Folder options, then in the View tab select "Show hidden files and folders". Whilst you are there, de-select "Hide extensions for known file types".
The Hosts file is a file without a file extension. It is what every browser checks through first whenever the browser attempts to connect to the internet to search for a web site and it resolves web site names into IP addresses which allows for a quicker connection. This file can be used to either redirect the browser to different web sites, or it can be used to block access to web sites.
Open your Hosts file by right clicking it, and selecting "Open with". You want to select Notepad, but please make sure that the option to "Always use this application to open this type of file" is not selected.
When the file is open, search for anything that has google.com, or www.google.com, or similar. If you find an entry does it look like, "127.0.0.1 www.google.com"?
If so, then any browser trying to connect to Google will fail, as it will loop back to your own computer, (that is what the 127.0.0.1 is, your own computer). If you find an entry, highlight the whole line, and delete it.
You then have to save the file, but you must use File > Save As, and not just Save. This is because Notepad will attempt to save the file as a .txt file, eg Hosts.txt, but that won't work. Select Save as, then change the "Save as type" to "All files (*)"; make sure the file name only says Hosts. Click Save.
Restart your browser and try to connect to www.google.com.
Let me know if that works.