All current IOLs are non-accommodating: the multifocal IOLs work by having multiple rings beam two or three different focal lengths into your retina simultaneously.

The way a natural accommodating lens works is that your optical musculature physically flexes the lens to focus on the point you're looking at. The current non-accommodating multifocal lenses are stiff and fixed; the implantee handles the transition between focal points entirely in the mind's eye. While accommodating IOLs are being developed, they are currently not on the commercial market.

I have a multifocal IOL that I honestly love, and has allowed me to abandon wearing any glasses; I have crisp and natural vision except in certain edge-cases. Other people, however, never adapt, or dislike the artifacts of the multifocal rings (mostly halos around bright lights such as headlights).