At that hour of the morning I really doubt you'll want a beer. Get your ticket and go to the main train station (hauptbahnhof). From there walk into the Marinplatz. The clock figures move around every hour, although the longest movement is at 11. The nice part of this is you'll be out before most of the tourists and the shops will be closed, except for the bakeries. This is a great time for pictures. From here turn north and you can walk to the Opera House, and along the Residence. If you walk along the Residence towards Odeonplatz there's an excellent bakery and coffee shop on the left towards the entrance to the U Bahn and across from the smaller Hof Garden (which has a beautiful rotunda and fountain). The English Gardens start at the Residence across from the Hof Garden. If you don't feel like walking you can just take the UBahn to Odeonplatz from the Hauptbahnhof; but it's only a 20-30 minute stroll thru town even if you window shop.
If you don't want to spend a lot of time in the gardens, you can walk across the way to the Bavarian National Museum, or go to the river and turn south and go to the Science Museum on it's island. I highly recommend this!
If you walk back towards Marinplatz (from anywhere) south of St Peters Church is the open air market. Buy your food here for the day. It's open early, so if you want coffee or pastries, or fruit early on this is your best bet. You can even swing in here and then go up to the gardens and picnic if that's good for you. Just make sure you leave enough time to get back to the airport. It's easy to lose track of time walking around central (old) Munich.
I don't recommend any resturants, for a couple reasons; one, service is slow, and you'll spend more than an hour getting a meal; two, most won't be open until later, and they tend to be packed at lunchtime; three, the offerings at the market are cheaper.
Enjoy Munich, it's one of my favorite cities.