I had the joy of going that way recently and your difficulty in describing the path is because it is difficult to find the right path. What is not clear to me though is where is the person riding from and to in that the heading is "Entry to Gladesville bridge from the west side" but the path you describe sounds like they are riding from Drummoyne to Hunters Hill
I would describe the path from Drummoyne to Hunters Hill as follows
As you exit the Gladesville Bridge, the designated cycle route is via a 180Â° corner at the end of the bridge, down alongside the access loop (from Burns Bay Road at Hunters Hill to Victoria Road at Gladesville). You will drop below the road level where there are four stairs on your right. Go down the stairs and through the tunnel before descending a further two flights of stairs to Huntleys Point Road.
Ride north along Huntley's Point Road for about 100 metres where there is a path to the left. Take the path up the hill past the southern end of Keeyuga Road, keep to the left hand path which will take you onto the bridge over Tarkan Creek.
I wouldn't recommend anyone crossing the access loop from Burns Bay Road at Hunters Hill to Victoria Road at Gladesville because cars are travelling at least 70 kmh and IMO there is not enough visibility to cross the road safely, especially if they are not sure where they are going. When I am heading west though, that is precisely the route I take - do as I say, not as I do
As best I can tell, the "offical route" when travelling east along Victoria Road is as follows:
On Victoria Road heading east, join the footpath at Mortimer Lewis Drive. The path drops down away from Victoria Road and goes under Burns Bay Road, coming out at the northern end of Keeyuga Road. 50 metres up Keeyuga Road, cross the road where there is a path to the right. Follow the path to the T junction and turn left which will take you past the southern end of Keeyuga Road. The path stops at the bottom of the hill on Huntley's Point Road. Continue along the grass for 100 metres and turn right up the two flights of stairs, through the tunnel and up a further four stairs. Turn right up the hill where there is a 180Â° corner that will take you up and over the bridge
If we can make the directions clear, I will update the section in Bike Paths in Sydney
. Thanks duncamm for the link to the bikenorth page which I will add now.