Yes, Bluehost is a well known and trusted company.
Of course, it does have terms of service that you must follow else you could risk your account. For example, it does not support spam, the hosting of copyrighted content, hateful content, and illegal activities, etc.
But, generally, Bluehost is a trusted web host used by individuals and large branded corporations alike. Do check out our Bluehost review - we have all the information you might need.