Do they as his children (congregation) have gifts of seeing the spirit world
In a divination sense of the word, this would be a sin for a Catholic as someone else said. The use of the term “The Spirit World” to us suggests a sinful involvement with divination or the occult, and we would not use that term.
If God wished to give someone a private revelation/ apparition of something like Heaven, Hell, the Virgin Mary, or another saint, then that is God’s prerogative to allow the person to have that private revelation. Many canonized saints and persons on the path to canonization have had a vision, apparition or revelation, and also some other people who aren’t canonized and probably won’t be canonized. The Church also has some formal approval processes for certain private revelations, but Catholics are not bound to believe in them even if the Church approves them.
One does not have to be a priest or other ordained clergy to receive a private revelation. Lay people (the term for persons who are not priests or clergy) can receive such revelations. But it is a gift that God chooses to give for his purposes. It is not something we can or should want, or try to get for ourselves.
Again, as above, lay people, not just priests, can receive gifts of healing. The healing comes from God, the person is just the intercessor with God. The gift is something given by God for his purposes.
If by this you mean casting out demons, in the Catholic church, only priests are permitted to do this.
It’s considered too dangerous for lay people and is something that is considered a proper role of a priest.
Lay people may pray in support of the priest. Catholic “deliverance ministry” usually consists of lay people who pray to support the priest who does the actual deliverance.
As someone else said, you will likely find a greater emphasis on all this among Catholic Charismatics than among other groups of Catholics.
One problem with it is that some people get carried away and their claims of the gifts they supposedly receive can be a little dubious.
This is why the Church will do a lot of investigation into any purported miracle or apparition before giving it approval.