Galatians 3:10. For as many as are of the works of the law are under the curse: for it is written, Cursed is every one that continueth not in all things which are written in the book of the law to do them.”
God did not give the Law to Moses so that it would be a curse to the people. He did not give it so that it would be a heavy burden. Rather, He provided the Law to teach the people how to live a holy, godly life. It was a higher standard than had ever been practiced before, and it was meant to bring the people to understand the absolute purity and holiness of God.
Incorporated into the Law was the practice of sacrifices. Why was sacrifice needed? Well, because God knew that no human being was capable of living such an absolute standard of purity and holiness, and so He provided a system whereby His people could repent, atone, and seek forgiveness.
When Jesus came, He fulfilled the Law as no mere human ever could. His death and resurrection was the final blood sacrifice, and because He made that sacrifice we are no longer bound by the Law. We are freed from the Law by His blood, and we live by grace in faith that He paid it all.
What this verse emphasizes is that the person was cursed who could not continually perform ALL things that the law demanded. It was the sacrifices that covered their sin and brought them into right relationship with God, because of their faith in God.
We who live under the grace of God no longer need to rely on our absolute adherence to the Law. We are saved by grace through faith. Our sin is not merely covered by the blood of Jesus; it is cleansed, made whiter than snow.