Confluence can poll a POP email box, but it removes the mail from the server so it's not ideal if you are using the google group for other purposes. Here are some docs with more details: How Do I Get Email Into Confluence? and Where Can I View Email Imported to Confluence for Archiving?
A third party plugin like: Send EMail To Page Plugin may be of more help. I look forward to hearing how you decide to proceed.
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