Panels will automatically refresh periodically according to their panel type:

Twitter
5 minutes
Email
5 minutes
RSS
2 minutes
Graph
10 minutes (unless overridden in JSON)
Table
10 minutes, unless overridden with a data-refresh-every-n-seconds attribute on the table element)
Photos
10 Minutes
Calendar
10 minutes, or when calendar push events occur
Weather
10 minutes
DIY
10 minutes (unless overridden with a data-refresh-every-n-seconds attribute)

Note: You can manually refresh any panel by triple-tapping it.