Trustworthiness and financial matters are two huge aspects of successful relationships.

You combined both - your lie was huge and you had many opportunities to fix it, but you chose not to. The lie was about finances - by being out of work, how would you afford to live? Eventually, you would have ran out of resources to be able to pay your share of the living costs, and how would that end for her? She would have to either carry your share or be stranded - which wouldn't be fair of her especially without any notice. If you had told her right away, she could have helped out with things such as budgeting and planning ahead.

I don't think that love would be able to hold me in a relationship with such a huge breach of trust. I would always wonder how many smaller things were being lied about, because if someone is capable of lying for months about something that would have such a huge impact on me, I wouldn't believe them incapable of lying about so many other things.

I'm sorry that this happened, but she's being quite clear on her desire to have the relationship over. There isn't always a way to fix things, and she's telling you that there isn't.