What is the plot of Pygmalion? Bernard shaw

is a wonderful play
about Eliza Doolittle.  Eliza is a young educated girl working in the flower district of London,
England.  On night she runs into Professor Henry Higgins, a noted professor of phonetics. 
Higgins is intrigued by her broken speech and low station in life.  He believes he can tell all
he needs to about a person based on his speech

"I can
place any man within six miles. I can place him within two miles in London. Sometimes within two
streets."

Higgins suggest to Colonel Pickering that
he could in fact have Eliza speaking like a high class London lady in three months.

In the second act, Eliza shows up at Higgins' house to take him up on his offer.
Higgins is mean and cruel to the young lady.  He mocks her accent; however, Pickering suggests
that the girl has feelings and offers her a seat.  They agree that Eliza will live with Higgins
for 6 months and he will tutor her and turn her into lady.

In Act 3, Higgins
tries to show off Eliza's transformation with his mother and her group at tea.  Eliza's stuns
them in her beautiful dress and polite conversation.  The tea turns when the group begins
discussing influenza.  Eliza drops into a long story of her aunt dying of influenza.  The group
is put off by this, but it's dismissed when it's suggested that she's just making "small
talk".  As she leaves, the group is smitten by her and young Freddy is in love with
her.

In Act 4 Higgins and Pickering congratulate themselves on their great
work.  They do not consider the work she has put into changing and ignore her completely.  A
huge fight erupts between Eliza and Henry as he considers her ungrateful and she wishes he had
left her where he found her.  As the act ends, she leaves and he throws her ring in the
fire.

In the final act, Eliza has taken refuge at Henry's mother's house. 
His mother criticizes Henry and Pickering for treating Eliza like an experiment and not like a
lady.  Higgins promises that he never treated her anymore badly than he treated anyone else.  He
invites her to move in with him again as his daughter or even to marry Pickering.  She says
she's thinking of marrying Freddy's who's been writing her letters.Her father enters claiming
that Higgins' money has "ruined me. Destroyed my happiness."  Before he could bum
money from friends, but now all of his friends come to him for money.

As the
play ends, we're not sure if she will marry Freddy, but the play ends with Higgins laughing at
the notion.