The bible further defines what love of God is and love of neighbor is. Love of God is keeping the first four of the ten commandments. Love of our neighbor is keeping the last six. The new convenent writes those laws into our hearts.
No new convenant is written on the Christian's heart. That is a promise made to Israel (Heb.8:8, Jer.31:31) for the Millnennial reign of Christ.
On the contrary, the Christian is commanded to remain under the control of the Holy Spirit, to 'yield to him' and not to sin (Rom.6:16,19) and to grow from being a 'babe in Christ' to an adult by going from the milk (1Pet 2:2) to meat (Heb.5:14) of the word of God.