Do you have a specific playwright or poet in mind? I've not enjoyed the paltry amount of Greek poetry Ive read, although that's mainly consisted of just one, Pindar. And I've only read two of their playwright's works. One of those being Aristophanes' 'The Clouds', which I was actually fervently disappointed with, seeing as how he is the most venerated comedy playwright of that time. The actual play though, lacked verbal eloquence, dynamic characters, and contained a turgid, drab plot.
The other playwright, Sophocles I'd highly recommend. I've only read two from the Oedipus trilogy, but they were magnificent. The slow progression of Oedipus' sordid fate is done quite well. There is an assiduous theme of vision and fate throughout the two plays. From the point of Oedipus' physical rending of his eyes at the death of his wife (and mother) at the end of Oedipus Rex to him regaining his symbolic vision at his own comprehension of his soon death in Oedipus at Colonus. In other words it's simply Oedipus' spiritual quest to gaze into the azure sky, hight of the mountains, and to accept his fate, thereby permitting him to transcend his physical malady and become one with platonic vision (understanding) itself. This is an extremely short description of two terrific plays with many other philosophic ideas and themes imbued along the way.
If I wasn't so lazy I'd read Antigone too. Anyway, sorry I have such limited knowledge of Greek literature, but I hope this at least helped.