I've heard that Ukrainians and Russian eat almost everything with bread. Is that true?
I think that mostly true for elder people. My grandparents eat much more bread than my parents and I do.
It's true. They don't put butter on their bread, they dip it in soup and use it a lot. Sources: interacting with sever Ukrainians
Yes, it often is. I don't like bread, and my parents find it very annoying. They always put some bread on the table, whatever they're eating.
Depends on a person's preference. But normally bread is a must for dishes like soup/borsch