In this part of the Gospels, Jesus was full of condemnation. He likened the generation of people living in His time as a bunch of fickle, unsatisfiable children (Matthew 11:16-19, Luke 7:31-35). He condemned Korazin, Bethsaida, and Capernaum for not repented from His miracle shows, and He reveled the fact that God was preventing the wise and learned people from understanding God's hidden things.
We need to start by setting the proper context. In the previous study, we observed how, in Matthew 11:25-26 and Luke 10:21, Jesus praised God for preventing the “wise and learned” from understanding the hidden “things” of God. It was God's “good pleasure” to keep them in the dark. The verse we are examining comes right after that notion of praise in both Matthew and Luke, but is not mentioned by either of the other two Gospels. Matthew 11:27 has Jesus say:
"All things have been committed to Me by My Father. No one knows the Son except the Father, and no one knows the Father except the Son and those to whom the Son chooses to reveal Him." NIVLuke 10:22 is nearly identical. It just adds “who” and “is” for clarification, as in “...No one knows who the Son is except the Father...”
For this to be true, we have one of two things happening here. Either: 1) There is a double-filtration occurring, where God opts to keep some people from understanding and Jesus opts not to reveal God to other people. Or: 2) The “good pleasure” God found in keeping the wise and learned from understanding God's hidden things is the pleasure of letting Jesus make all of the decisions on who will have the opportunity to know God, and who will not.
One thing is certain though: Salvation is not available to everyone. It is only for whoever God/Jesus chooses. The Elect. If you do not have an invitation from Jesus, you do not have the option. Salvation is not a freewill decision, but rather it is a choice made for you; at least the invitation level, if not deeper. It may even be the case that if you are not chosen, there is no hope for you at all, because God will actively prevent you from attaining Salvation, as the preceding verses suggest.