Welcome! It DOES go through the Grand Californian and, to be honest, it's really cool for the kids to sit out on the balcony and watch it!
But, there is not the equivalent stops as you have at WDW. To be fair, it's not really needed. GCH is 5 minutes away from the main gate and Disney Land Hotel is 10 minutes away, and 2-3 minutes away from the monorail. The only resort that might benefit from having a stop is Paradise Pier but that's questionable.
Because DLR is so compact between the 2 parks and the 3 hotels, you should think of the Monorail more as a ride that just happens to go outside the walls rather than as a transportation option.