Until the first church was built in 1651 the inhabitants had to go to the town of Baeretswil or Pfaeffikon for service for took them up to 2 hours one way. The first church soon became to small and it was torn down in 1771 and replaced by the present one. You find it right in the center of Bauma.
Bauma is a good starting point for a hike. There are many signposts and worthwhile destinations include the small village of Sternenberg, Hagheerenloch or the Bachtel and Hoernli mountains (well those mountains are more like hills in the Swiss understanding).
Bauma is the hub for steam train events for the steamtrain club. Several times a year they run the steam train on the Bauma-Hinwil track. You can check for dates on their website. At other times you may see some very old carriages patiently waiting in the railway station for their next use.
In the center of Bauma you will find several restaurants and a café connected to a pastry shop. The restaurants are mostly on Dorfstrasse whereas the café is located on Bahnhofstrasse. There is also a Migros supermarket and a well-sorted kiosk at the railway station.
You can reach Bauma by car from Winterthur through the Toess valley and continue further up the valley. From Bauma you can also cross various hills either to Wetzikon or Pfaeffikon ie to the more populated areas or up to Sternenberg.
There are buses from Wetzikon to Bauma. They run at least hourly. From Wetzikon - also situated in the Zuercher Oberland - you have better S-Bahn connections to Zurich or Rapperswil than from Bauma.
Bauma is connected by train to Winterthur and Rapperswil with the S-Bahn line no. 26. It runs hourly.