I suspect Bran is done in the show, along with the rest of Winterfell (except maybe in final reunion scenes). The action id now taking place thousands of kilometers away, in a region that doesn’t have Weirwood trees as far as Incan remember.
In the show, Bran was basically a MacGuffin - something to drive the plot. He had to be saved, then found, then returned home because it was critical that he… be used as bait, I guess. Oh, and to be around to ‘prove’ the bad stuff about Littlefinger and the good stuff about Jon. That’s about it.
In the books, I think GRRM planned for him to be basically the main foil of the Others, which is why they were trying so hard to kill him. He was supposed to be very powerful, and Bran was still learning.
The ‘Hodor thing’ and confirmation of Jon Snow’s birth circumstances has not been observed by Bran in the books (yet). The way those weirwood warging chapters are written is that he is literally looking through the eyes of the weirwood tree. It is implied that they were carved onto them by either First Men or Children of the Forest for the purpose of ‘looking’ through them.
From one of Bran’s chapters: “I am in the tree. I am inside the heart tree, looking out of its red eyes, but the weirwood cannot talk, so I can’t.”
It was obviously easier for the purposes of the show to have Bran and the previous TER become holograms that appear wherever they like. Gives the actor something to do.