After reading a question about going to Alpha Centauri through an Alcubierre Warp I just became curious about going through a wormhole. I think it would happen instantly as far as I know about wormholes. Is that right?
Although well beyond the scope of this website, it is sometimes fun to speculate about space travel techniques that have been proposed mathematically but never proven.
An Einstein-Rosen Bridge (more commonly, a "wormhole") is not usually considered to be a zero-length connection between two points in space. Rather, a common interpretation is of a projection of a (hypothesized and never yet observed) higher spatial dimension into our own 3-D universe. This projection, having non-zero length, would require non-zero time to traverse.
As far as we know (basically nothing), you'd travel through the wormhole at speeds governed by relativity. So your travel time would depend on the length of the wormhole and your propulsion technology. In short, it would be like travelling through normal space, except with the extra magic of wormholes.