。
You have to read between the lines.
Literal
True [possessive-の] place [object-を] read-discern [casual must-なきゃ].
本当の所 ('the true meaning, what's really going on') — 所 here means 'the gist' or 'the real point.' 読みとる ('to read into, to discern') is a compound verb — 読む + 取る. ~なきゃ is the casual contraction of ~なければ ('must').