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Play it by ear. First of all, have a look at how much work you have been given by your supervisor(s) to complete. Make sure that you complete that to a good standard before asking for any more work. If you don't leave time to do your original tasks well, then at best you get marked down on those tasks alone, and at worst get a massive black mark next to your name for poor time & work management, which is a major requirement for any corporate lawyer - and particularly for a trainee.

Firms vary hugely as to how much work they give you. Some give you an absolute ton to do (one MC VS I did had barely enough time for the assigned tasks, let alone for anything more), others give you less work, and leave the rest of your time up to your discretion. Some supervisors may be more willing to give you work/may actually have work to give you, others won't.

The rule of thumb is always complete the mandatory tasks first. Then IF you have time left over, ask away.