You need to enable "Split Tunnel" on the concentrator in order to use the tunnel and the Internet at the same time from the client location.
With split tunnel enabled on the concentator, you may also need to enable split tunnel use on the client.
You may want to read up on it before enabling it, it's generally considered a security risk to the host network. At the least, make sure all the clients are running corporate-standard firewall and virus scanning software.
I believe the general practice would be to access the Internet through the Host network (and gaining the benefits of the corporate network's protection apparatus).
Good Luck
Scott