If I had a time machine, I'd go back in time to meet famous celebrities, politicians, and internet influencers from the past and tell them about what happens to them in the near future, both good and bad. I would also use the time machine to go back and time to meet some family members of mine who died before I was even born.
I know myself, and as much as I'd like to think that I'd have perfect self restraint to not meddle in history, I don't. So if I had a time machine I'd destroy it. That power is definitely not something I think people should ever have. Perhaps I'd be more inclined to keep it if I were only there as a spectator, unable to communicate with, interact, change, or touch any people or objects (does the floor count as an object? Or would I just fall through it? Anyway, not the point, so time [stop me before I start dying of laughter from my hilarious jokes] to get back to it). As much as I dislike how a lot of things turned out, want to prevent horrible things from happening, the consequences and fallout would be huge, and I can't even guess what would happen if I were to change something. Changing stuff would also be changing people's identities, and basically make me a "deity", for lack of a better word, who decides on what should or shouldn't happen.
Anyway, on just a surface level answer, disregarding what could happen, I think it'd be pretty cool to see ordinary people just living their lives. I'd want to hear their perspectives and thoughts on life and the conditions of their lives. From all different times and civilisations.
I am not sure. I know using such a thing effects tons of stuff. I do think it would be cool to meet some of your further back relatives/ancestors. Maybe I would use it to lurk around in other time eras just to see how things were like in real time.