That looks like a pretty good itinerary given that you're there for a full 5 days (assuming you arrive in the morning?) And yes, if you leave Anaheim at 8:30am, you can get to LA in an hour, pending no bizarre accidents are on the freeways.
Lunch in K-Town then shopping at The Grove/Beverly Centre and the Griffith Observatory in the evening - totally doable in a day. Take your sweet time because remember rush hour traffic is nuts if you're going to be in that part of town. Heading north to the Griffith Observatory on the 5 can be a royal pain, so take your sweet time, or use "Wayz" to find an easier / alternative route.
You can easily spread out the itinerary over the days you're there so do what you feel is worthy, especially since you're staying in Anaheim. Make sure you have reservations at Baco Mercat, or sit at the bar - the service there is great. Ask the servers for their food recommendations and any cocktails to go with them. Remember - it's family style so get a few dishes and share with your gf!
Since you're in Anaheim, swing by the
Anaheim Packing District. Lots of good food options there!
