I loved this talk by David A. Bednar that goes with this lesson. Below are some highlighted quotes that I loved from the talk, and at the bottom you can find a link to the full talk if you'd like to read it:
Testimony is the beginning of and a prerequisite to continuing conversion. Testimony is a point of departure; it is not an ultimate destination. Strong testimony is the foundation upon which conversion is established.
Testimony alone is not and will not be enough to protect us in the latter-day storm of darkness and evil in which we are living. Testimony is important and necessary but not sufficient to provide the spiritual strength and protection we need. Some members of the Church with testimonies have wavered and fallen away. Their spiritual knowledge and commitment did not measure up to the challenges they faced.
A testimony is spiritual knowledge of truth obtained by the power of the Holy Ghost. Continuing conversion is constant devotion to the revealed truth we have received—with a heart that is willing and for righteous reasons. Knowing that the gospel is true is the essence of a testimony. Consistently being true to the gospel is the essence of conversion. We should know the gospel is true and be true to the gospel.
I now want to use one of many possible interpretations of the parable of the ten virgins to highlight the relationship between testimony and conversion. Ten virgins, five who were wise and five who were foolish, took their lamps and went to meet the bridegroom. Please think of the lamps used by the virgins as the lamps of testimony. The foolish virgins took their lamps of testimony but took no oil with them. Consider the oil to be the oil of conversion.
“But the wise took oil [of conversion] in their vessels with their lamps [of testimony].
“While the bridegroom tarried, they all slumbered and slept.
“And at midnight there was a cry made, Behold, the bridegroom cometh; go ye out to meet him.
“Then all those virgins arose, and trimmed their lamps [of testimony].
“And the foolish said unto the wise, Give us of your oil [even the oil of conversion]; for our lamps [of testimony are weak and] are gone out.
“But the wise answered, saying, Not so; lest there be not enough for us and you: but go ye rather to them that sell, and buy for yourselves” (Matthew 25:4–9).
Were the five wise virgins selfish and unwilling to share, or were they indicating correctly that the oil of conversion cannot be borrowed? Can the spiritual strength that results from consistent obedience to the commandments be given to another person? Can the knowledge obtained through diligent study and pondering of the scriptures be conveyed to one who is in need? Can the peace the gospel brings to a faithful Latter-day Saint be transferred to an individual experiencing adversity or great challenge? The clear answer to each of these questions is no.
Find the full talk here: Converted Unto the Lord by David A. Bednar