Shotgun Create have a mechanism that refresh automatically in the background periodically.
The general rule is that you can expect everything you see on screen to be accurate and refreshed really often ( most of the times every 30 seconds ).
When you change sections in My Task/My Review or go inside of the Task View, every data get “invalidated” and re-fetched as soon as possible. If this is not enough for you, F5 should do what you want. You might not have visual feedback of things getting pulled from Shotgun if nothing is different on what get presented to you.