You can view and edit the animatable properties of animation layers themselves (such as Weight) in the Properties window, the FCurves window, and the Dopesheet window. First select the layer whose animation you want to view, then open the window in which you want to view its properties.
To view the layer’s Weight animation in the Properties window:
As with other animatable properties, the Weight property’s Keyframe (K) and Animate (A) options can give you feedback as to whether there is a keyframe at the current time. See Keyframe (K) and Animate (A) buttons.
To view the layer’s Weight animation in the FCurves window:
The Weight property’s function curves display in the FCurves pane, where you can edit them.
To view the layer’s Weight animation in the Dopesheet window:
Keyframes set for the layer’s Weight property display in the Dopesheet Timeline area.