If its to learn C++, then I suggest you to do this.
1) In a file list all of the participants name
2) From your program, read/store the participants name
3) Pick a random name and output
It will be easier if your program just shows the random person's name instead of having the user enter 'Go'
Alternatively, if you don't have a lot of names, then it might be easier to hard-code the names in a vector. And then shuffle it and pick a random name. Judging from your post it looks like you only have a few names. In that case, it might be easier to do hardcode it.
Here is a sample code that you can work with.
#include <iostream>
#include <algorithm> //to randomly shuffle
#include <vector> //our container
#include <string>
using namespace std;
int main(){
vector< string > fruits;
fruits.push_back("apple"); //add a fruit to our container
fruits.push_back("orange");
fruits.push_back("pear");
//randomly shuffle the vector
std::random_shuffle( fruits.begin(), fruits.end() ); //reorders the container in random order
string pick = fruits[0]; //pick the first element, could be any since the container was 'shuffled'
cout << "Today, you should eat " << pick << " for breakfast " << endl;
return 0;
}