S1 or S8 take you in 45min to Marienplatz. Next to the cathedral you’ll find a great Bavarian wirtshaus (or restaurant) which is a great deal with less tourists called ‘Der Klosterwirt’ - they have English menus as well. 5min walk from Marienplatz station (train tickets for 2 return approx 14EUR)

Forget the T1 lounge if staying at the airport - visit ‘Airbraeu’ with its own large beer garden between T2 and T1 (not to miss). They brew their own beer and you’ll get 0,5l for €2,80 - and they do great food as well! Looks also very traditionally Bavarian inside.

We don’t have Uber - as others said, taxi would be around 70.

(I am Bavarian so have a bit of a clue re/ Munich/ Bier/ Wirtshaus