Trying to understand schematics of a microcontroller (TM4C123GXL)
Yes, your reasoning for the transistor circuit is correct. 

The input and output symbols are not universal. Sometimes they indicate signal direction, sometimes not. A good schematic (for westerners at least) should have inputs on the left side and outputs on the right side (western people think left to right).

What is more universal is that connections with identical names are connected to each other within multiple schematic sheets. Sometimes the connections are within the same page, but this should be avoided IMO.