To register a fact means to absorb the imformation.
If you told me that the house was on fire it might be so shocking that I might not react at once. Once I had understood your meaning (registered the fact) I would run out of the house.
I knew that the cat would try and take my chicken, but when it jumped on to the table I hardly had time to register the fact before it had stolen my food and gone.
Gets to meet, means he gets the opportunity to meet. ie he is given the opportunity to meet Ron's family.
In each case place "the opportunity" after the word get.
This week I will get to finnish my book. I don't often get to read.
I hope they make it in to a film, then we will get to see it on the big screen.
You could also say get the chance, or get the time, or get the option