The difference between Jesus'commandments and God's commandments is that Jesus' commandments are given under a new covenant, one between between the Father and the Son, that Jesus himself fulfilled. The commandments from Sinai were given to only the Hebrews, and were conditional upon their obedience.
Did Jesus end the law or not? Yes he did. Jesus said "It is finished," that is, the old covenant was fulfilled by his perfect life and death. He is the Lamb of God.
Matthew 5:17 says "Do not think that I came to destroy the Law or the Prophets. I did not come to destroy but to fulfill. For assuredly, I say to you, till heaven and earth pass away, one jot or one tittle will by no means pass from the law till all is fulfilled"
The biggest difference between Jesus' commandment and God's commandment (I hate to even make the distinction since Jesus is God but for the sake of answering the question I do so) is that not only did Jesus fulfill the OT law and commandments, he also fulfills the NT commandment in us - to love God and our neighbor. The bible makes it very clear that we as fallen people cannot follow any commandment. As born again people, we have the Spirit of Christ. Christ in us, Christ as us, can love God and love our neighbor. We bring no offering except ourselves.