With UltraMon it's called Smart Taskbar. Look under options. You can mirror what's on your main display or have the 2nd monitor have it's own taskbar (standard) for the windows that are opened on it.
Edit: regardless of your choice Smart taskbar only displays open windows, not the start orb, not the pinned icons, not the system tray area nor clock.
If you want all that stuff on the other monitor you need to make it the primary monitor. However, I do not believe it will show on both.