Final answer:
Mr. Darcy is Lady Catherine de Bourgh's nephew, and Elizabeth Bennet learns that Lady Catherine's daughter, Miss Anne de Bourgh, is sickly, highlighting themes of wealth and expectations in 'Pride and Prejudice'.
Step-by-step explanation:
The connection between Mr. Darcy and Lady Catherine de Bourgh is that Darcy is Lady Catherine's nephew. This relationship is important in Jane Austen's 'Pride and Prejudice' because it highlights the social expectations and connections among the English gentry.
As for the interesting information that Elizabeth Bennet learns about Lady Catherine's daughter, it is that Miss Anne de Bourgh, despite expectations of grandeur due to her mother's insinuations, is rather sickly and lacks the lively qualities that Elizabeth possesses. This juxtaposition emphasizes the novel's themes of wealth, status, and individual merit versus societal expectations.