The Protestant view should be understood in view of the fact that we use the termination differently than Catholics do. Catholics, in my understanding, view justification and sanctification as the same thing.
To a Protestant justification is part of salvation not equivalent to it.
Salvation has four parts. Regeneration, justification, sanctification and glorification.
Regeneration is the first part. It where we are “born again” in the sense that we are given a new nature. This involves an actual infusion of grace and we become capable of wanting to seek God and please Him. We are given the ability to do things pleasing to Him. We are not made actually righteous but are infused with a nature that allows us to act righteously. However our old nature still remains and we can sin.
Justification is where our sins are forgiven and we are viewed or declared to be righteous. We are do not actually become righteous because righteousness by God’s standards is perfection and we are not perfect since we are still conscious of sin and can still sin.
Sanctification is the process where we try to live more and more righteously as we try to become more and more like Jesus. God gives us grace to do this but it is never complete in this life time. So yes God does continue to give us grace.
Glorification comes after death when we actually are righteous and no longer sin.