Oh, I think service vehicles can still access it and use it, and from what I've seen the times I've been there, routinely do... I meant a something still in use by the average guy trying to drive around town. We're fortunate they didn't bother to remove it, because other superseded bridges have gone by the boards... Lawrence at the East Don and old old Albion Road (Flindon Road) bridge spring to mind. Oh, and as previously mentioned by someone else, Old Dundas Street bridge on the Humber. I'd prefer they left things like that and simply closed them to vehicles but left them open to pedestrians, like they have with Old Cummer Avenue bridge and the newer old Albion Road bridge.
But yeah, old Bayview bridge is part of the campus and is routinely fenced off along the end of Lawrence. The last time I was there I actually had to climb down the bank and wade down the river to get to it; it was the easist way! But it looks like people up on the heights use it to exercise Fido so I wouldn't be surprised if by now someone has engineered another ad hoc access, bending a link in the fence here and there.
Taken from the Don, facing west (towards the new bridge); infrared four-photo pano assembled by AutoStitch and tinted in Photoshop in post-processing. Hoping this spring to take a shot matching one taken by Ted Chirnside in the 1950s from than bank just to my right in this view.
You can easily see this bridge, by the way, from east side of the current Bayview Avenue bridge north of Lawrence in the winter when the foliage doesn't disrupt the view: