Transfer Bitcoin to Google Wallet
Google Wallet does not support bitcoin.

You could send him PayPal and then he could use https://xcoins.io to convert into Bitcoin.

Or you could purchase Bitcoin with Paypal from https://xcoins.io and then send the Bitcoin you purchased to his Bitcoin wallet address.

Another option if you're not in a rush is to use https://coinbase.com but buys are not instant for new users as far as I know.

The only reason I recommend xCoins is because you said PayPal and Bitcoin.. and xCoins is the quickest way to get Bitcoin.

NOTE: I work for xCoins as a engineer.