I guess it wasn't that hard, just intimidating at first. Hope it's accurate.
1. Get the FeatureCursor of all segments based on an attribute
2. For each Feature, cast it to an EdgeFeature
3. Get the FromToJunctionEIDs
4. Get the GeometricNetworkByName from the NetworkCollection (FeatureDataset)
5. Get the Logical Network and then the NetElements
6. Query the NetElements based on the EID and ElementType (ETJunction) to get the FeatureClassID, ObjectID and SubID
7. Check the FeatureClassID to make sure its the FeatureClass you want
8. Query it based on the ObjectID to get the desired attribute