I used to live 2 blocks away from where you will be living.
I'd say, walk to Knorstrasse, hop on the U2 ubahn, switch to the U3 on the first stop (
Scheidplatz) towards
Marienplatz, get off at Marienplatz and walk around! You could also skip the U2 and walk directly to the U3 line.
You could also bike down Belgradstrasse or Schleisheimerstrasse and then east on Hohenzollenstrasse until Leopoldtrasse, over there you have a lot of stores and cafes and the University LMU.
In the Neighborhood, you could go the
Olympia park, there is a hill over there where you can get a nice view of the city.
If you have any specific questions, I'd be glad to help.