Access the web (5)
(Other definitions for log on that I've seen before include "Gain computer access" , "what the lumberjack's lorry may have?" , "access network" , "Prepare to surf, perhaps?" , "Access the Internet" .)
(Other definitions for logon that I've seen before include "Sign in to computer (O not I)" , "Enter online program" , "Commence access to computer system" , "Gain access to a server system" , "Access the Internet" .)