Today's reading is entirely devoted to the theme of the Covenant. Modern readers usually first notice the natural phenomena that accompanied the theophany at Sinai on the day the Covenant was made (vv. 9, 17-19). Behind these biblical testimonies it is not hard to see historical reality: traces of ancient volcanic activity have been found at Sinai, and ancient people everywhere associated natural phenomena such as earthquakes and volcanic eruptions with a manifestation of the presence or action of higher powers.
Yet something else is more important here: the essence and meaning of the Covenant of which God speaks to Moses (vv. 4-6). The words about a "kingdom of priests" are not always clear to modern readers, but the New Testament context, where Christians and the Church as a whole are usually called "saints," clarifies much here. Still, it would be more precise in this case to speak not of holiness in the modern sense of the word, which often suggests perfection and even sinlessness, but of holiness in its traditional biblical meaning, that is, of being consecrated, of the new quality acquired by the life of a person who has truly come into contact with that presence of God which accompanied the Jewish people throughout their historical path and then appeared so vividly in the Church of Christ.
Contact with it really changes a person. After such an encounter he becomes different, acquiring the new quality conveyed by the biblical idea of being "consecrated" or "holy." And this new quality acquired by a person allows him to have a deeper relationship with God. Without it one cannot enter the Kingdom of God, which is why the Church, as part of the Kingdom, as the Body of Christ, contains the fullness of holiness. One can say that, to a certain degree, human nature itself changes, becoming better suited to communion with God.
Of course, such changes are not irreversible; more than that, they depend entirely on a person's relationship with God, being an inseparable part of that relationship, and if the relationship is broken, this new quality will also disappear. But God wants His relationship with His people to be as stable and strong as possible, to be what the Covenant presupposes, and He is ready to do everything to attain this goal. Yet attaining it depends not only on God, but also on the human person.
