Hello,
What version of SEP are you running?
Is that SEP 11.x OR SEP 12.1??
Secondly, let me get your question right - You are unable to get on to Internet when using the Google Chrome Browser, correct?
Are you able to access Internet via Internet Explorer Browser??
Is this happening only on 1 client machine or all client machines?
Could you open the GUI of SEP client on your client machine and check the Traffic and Packet Logs by:
1) Open SEP client
2) Click on "View Logs"
3) Under Network Threat Protection, click on "View Logs" and click on Traffic Logs
Could let us know if there is any traffic blocked?