Jesus died for the sins of those who would repent, accept what he did on the cross to pay for those sins, and accept him as Lord.

It's important to note that not everyone is saved. Only a small part of humanity will be saved.

(Matthew 7:13-14 NIV) "Enter through the narrow gate. For wide is the gate and broad is the road that leads to destruction, and many enter through it. {14} But small is the gate and narrow the road that leads to life, and only a few find it.

God's love IS unconditional. You can't keep God from loving you but you can live so that you're not blessed by God's love. Just like you can't stop the sun from shining but you can go into the shade.