Hi,I'm glad to answer your question.
Well,go home is right, but go to home is wrong
In this sentence,home is used as a adverb, just like go there (there is a adverb here)
Except these, we always use go to+someplace.(someplace must be a noun here)
For example:
1. go to (the) school
2. go to airport
3. go to (the) hospital
and so on…