Before I answer this question, you need to realize that this is piece that was written in a different context and time. Jane Austen was born in 1775 and died in 1817. For this reason, we need to judge her work from her context and not ours, or we will run the risk of being anachronistic. If we do this, her book was somewhat forward thinking. She has a view of women that is variable and not just in one way. Also, some of her female characters are very strong. So, I would say rather than stereotypes, she is breaking a view of women and how they have to be a certain way. With that said, if there is a stereotype, it is that women are still dependent on men.
In the book "Pride and Prejudice" the era is one in which women were meant to be demure and were socially restricted in their behavior, jobs, and flirtations. The book uses mostly stereotypical women from that era. They engage in actives such as needle point. They are unable to inherit the estate because of the rules laid out to protect inheritance of men.
The women's ability to demonstrate affection is also limited. Words are restrained as they express themselves. They dress in an appropriate manner. At dances they are expected to wait for an invitation from the men.
The social restrictions on the women are the most significant component in most of Jane Austen's literature.