Five Important Things

I think the five important things that Socrates learned from Diotima are:

1)Love is neither beauty nor good. Love is something between good and bad, beauty and ugly.

2) As love is neither beauty nor good, he is not a god. Instead, Love is a great spirit that between mortal and god. Love is a massager that commute between mortals and gods. 

3) Love is the son of Poros and Penia. On the one hand, he always living with Need, but on the other hand, he is eager to beauty and good. Also, in nature he is neither mortal, nor immortal. He is between ignorance and wisdom, so he is one that love wisdom.  

4) Love is wanting to possess the good forever. What love wants is the reproduction and birth to beauty. Because the reproduction and birth could give the mortal immortality. 

5)Love is a process that begin in a lover's youth. A lover should correctly learn and experienced "beauty" in a following sequences:first, he should love a certain body and beget beautiful idea there; second, he should realize that all the bodies are presented the same and one form of beauty; third, he should become a lover of all beautiful bodies, and gradually think body is not an essential thing. After that, he would think that a human soul is much more beautiful than the bodies. Then, he will gaze the beauty of activities and laws, and no longer think beautiful bodies are important. Finally, he would see the beauty of knowledge and be looking mainly not at beauty in a single example.And he will catch the beauty in its nature. The last kind of love is immortal and would be beautiful to everyone.  

(It said that this is the scene when Alcibides was entering the room)

Do you think Alcibides  understood any of  these lessons?

I thought at least he understood. In Socrates' speech, we can know that Socrate did not agree love is a desire of beauty. But in the formal  five speeches, every speaker in some degrees thinks that love is a desire. Alcibiades, I am not sure weather he is a lover or a be loved in the relationship with Socrates, do not want to talk about love in front of Socrates. At least, it seems that he was jealous about the fact that Socrates sit on the same blank with Agathon. And, it also seems that, Socrates was not a satisfied lover or be loved. So, what Alcibides praised is Socrates, and provided lots of evidences to say Scroates was really act as wha he said.

Extra credit;   Is  Alcibiades actually drunk or only pretending to be? 
I think Alcbiades only was only pretending to be drunk.
1)In his words, he directly show his love to Socrates. He was trying to us "drunk" to say all these words, because people always said that after drunk, one would tell the truth.
2)And he was keeping stress that he was drunk. I don't think a drunk person would admit he was drunk so easily.
3)Near the end of his speech, he could still remember what he said at the beginning, and want to add more into it. And finally, he was trying to pursuit Agaton keep a distance from Socrates, in case to be betried. In this way, he was trying to say that even though Socrates seems to be a "expert" in love, he is not a good lover, which echo his beginning.His speech is quite logically,and not like a drunked speaker would say.