Yes. This can usually be translated as "She was standing in front of the classroom." though it is also possible to mean the same as below sentence.
It should rather be translated "She was standing in the front part of the classroom." The difference is that in this case, 彼女 is standing in the classroom. However, saying "in front of" sounds to me that 彼女 was standing at outside of the classroom, say, in front of a door, doesn't it?
The meaning of 前の方 depends on the context. 方 is generally "direction", and can mean relatively determined places. In this case 前の方 is like "relatively front part", which can simply be "front part."
Sometimes 方 can mean vagueness, as in
His car is running somewhat ahead of us.