I can assure you that you won't have access to Gmail, or any other messaging service, when you work for a financial institutions.
The reason being that all official bank communications need to be stored and there are strict regulatory requirements that mandate that.
That does not mean that they have the right to read your email (at least in most European countries). Exceptions apply if dodgy dealings are suspected, but that's quite restricted and limited.
In any case and even with a relatively lenient internet policy any service, which can be used to exchange messages will be blocked by a bank.
The reason being that all official bank communications need to be stored and there are strict regulatory requirements that mandate that.
That does not mean that they have the right to read your email (at least in most European countries). Exceptions apply if dodgy dealings are suspected, but that's quite restricted and limited.
In any case and even with a relatively lenient internet policy any service, which can be used to exchange messages will be blocked by a bank.