If the circuit is drawn properly, inputs will be on the left, outputs on the right. So, start on the left and think through to the right.
It is helpful to know what the overall circuit is supposed to do. In my case, I use op amps for analog computing. The blocks will be inverters, summers or integrators. There are variations in the feedback capacitor size to speed up the simulation and some of the inputs use smaller resistors to provide a 10x gain at the summing junctions. This may not be the most common use of op amps!
Do some research on the kinds of blocks that are built with op amps. Amplifiers, buffers and filters. The circuit design is usually just a collection of these basic blocks.