Pemberly is the estate of Darcy,  it is located near the fictional town of Lambton in Derbyshire. Elizabeth joins the Gardiners to visit Pemberly, where they admire it's beauty, "They gradually ascended for half a mile, and then found themselves at the top of a considerable eminence, where the wood ceased, and the eye was intasntly caught by Pemberley House, situated on the opposite side of a valley, into which the road with some abruptness wound" (Austen. First Edition. pg. 259). Elizabeth would encounter Darcy and is amazed to see his pride change into tenderness. Elicabeth would feel grateful that Darcy forgave her misjudgments and harsh rejection. This is also the place where Elizabeth would get the horrible letters from Jane and about Wickham. 

Austen, Jane. Pride and Prejudice. First Edition. pg. 259. Edited by Robert P. Irvine, Broadview Press, 2002.