Would it cause anybody to lose their rights in some way?
I think that would be inevitable since people's rights are heavily impacted by societal values. People would lose some rights but likely gain others. Gun ownership is an easy example here since I think the UK's approach to guns is probably about right.
People would also lose the right to unlimited wealth, particularly when it's gained via exploitation and a reckless disregard for the environment. You could still be wealthy enough for you and your family to live in luxury for the rest of their lives in my
dictatorship utopia. Anything over 100 million would be redistributed though.
Would people on this forum be affected?
Probably. Again, see gun ownership.
Would there be freedom of religion?
In the sense of personal practice, sure. I'm a firm believer in secularism though so values based solely on religious views wouldn't be enshrined in law. I know some people view that as an infringement on their freedom of religion.
Would people be able to express themselves?
Does that expression cause harm? If not then have at it. If it does, then possibly not. I don't think it's wise to attempt a one size fits all approach here.
Would women be able to wear the clothing that they want?
Yes.
How would homosexual people, trans people, nonbinary people fare?
They would be seen as just as unremarkable as heterosexual, cisgender people.
The question of trans people in professional sports would be a non-issue. Since most people wouldn't care about sports, the industry wouldn't really exist. Sport would be just be a hobby.
Would anything that people commonly do today be banned, like any books, music, or other media?
No power tools, including lawnmowers and hedge trimmers, before 9am on weekdays and 10am on weekends. Nobody needs to cut the grass at 7am Sunday morning. Stop it.
As a final note: This society wouldn't last long. I'm an anti-natalist so humanity would probably end up extinct. Anti-natalists don't typically have many children.