If by non-AI you mean Nikon G or P class lenses (those that don't have aperture rings) then it won't work with those. This is for older lenses where you also have an aperture ring. 

This adapter ring Nikon-EOS is for Nikon F mount to Canon EOS camera, you mentioned your lens mount is F mount, so this item is useful for you. 

Dear Customer, so sorry to tell you that this adapter won't allow your nikon 1 s1 lenses to mount to my canon t2i. 

That depends on the lens diameter. This is usually indicated on the lens. The filter holder is then attached to the lens with the appropriate adapter ring 

The adapter will mount the lens and you will be able to use it manually. However, my copy of the adapter does not allow the lens to be fully mounted all the way until it clicks into place. It doesn't quite make it, but it's still very solidly mounted. Also, the manual aperture linkage doesn't work properly (on my copy, at least) so exposure is controlled only by shutter speed and/or ISO. You will be able to manually focus and zoom the lens but no VR, of course. It will be a frustrating experience. Instead, get a 14-140 Panasonic zoom if you can afford it!