What can I do to solve the meeting and make my manager feel that it
That is exactly the question you should ask during your first one-on-one meeting with your manager.
Every manager is different. Every manager will want something different from their one-on-one meetings.
When I held them, I wanted to know how things were going with their work, how the individual was doing, and what I could do to help make things better. I also wanted to hear about anything upcoming that might get in their way. I used the time to convey anything from corporate that I felt impacted them directly, that perhaps hadn't been shared with the entire group. We talked about what went well recently, what didn't go well, and what we might do to get better.
Since I also personally liked everyone who worked with me, I might spend a minute or two asking about their life outside of work - their children, family, vacation, etc.
I never held these meetings for an hour, although I would go beyond the scheduled time if the individual felt the need.
You should try to keep your distaste for these meetings in check, and go in with a positive attitude. Find out what your manager wants, and give it to them in as efficient a manner as possible (sometimes a status report can get your manager what they need). And then spend a moment thinking beforehand what you would like to get from the meeting.
If that goes well, you could propose that the meetings be shortened, scheduled less frequently, and perhaps eventually be eliminated. But that would likely only happen if each party gets what they need some other way.