They mean the same thing, but beautiful would be more polite. Cute would be beautiful, but in a younger or sweet way. You could also use this to describe a child or an animal. Hot would be a more sexual term. Lovely would probably mean more than just beautiful. Hope I helped :)

Beautiful is more stronger than good looking. However, good looking is often used indirectly, as it would be unusual for someone to approach another person and say directly to him or her that that he or she is good looking. Beautiful is usually directed towards women, for example a man or a woman may say that a woman is beautiful. Inanimate objects and ideas are usually beautiful, and especially babies. "Wow, that is a beautiful baby!"

Beautiful does not only refer to women appearance. "Beautiful" can be used for anything or anyone that touches your emotions.

Men are most often described as good looking, you could also use the word handsome. Beautiful is used more often with women. You could also describe an object or animal as beautiful too.