Should I get back with my ex gf?

my ex gf of 3.5 years and I split up when I found out she was lying to me about somethings while in a LDR. we agreed no bars and despite this she went and lied to me about it. She also met up with some guy from our university who is a friend of her ex and some of his friends and showed them around her country. And lied to me about that. She has never been the most honest person and to a degree I believe its because we have different views on what is acceptable and unacceptable in a relationship. I wonder whether I should give her another chance or if theres even a point since were in a ldr and theres no way to rebuild the trust. Shes my first gf and when we were together we were inseparable now she just seems like a different person. I ultimately want to look back and say that this was a good decision. what should I do? she still cares about me and wants to get back together.