Well, not quite. The corporation is a distinct legal entity, and is served a summons per se. For practical purposes of actually delivering the papers to a person, the corporation must have a designated representative. This may be anybody, and there are businesses that specialize in serving as the designated representative for perhaps hundreds of corporations. (Especially those that exist only as legal entities.) I know of one nearby me that's basically just a mailbox, even though it's listed as the address for many, many corporations.

The whole purpose of a corporate entity, as a legal concept, is to shield the directors, and officers, from personal liability. Unless personally named in a suit, a CEO almost never shows up in court. That's a job for an attorney.