reading stdout from /proc

I'm running the following C program

// hello.c

#include 
#include 

int main() {
  while (1) {
    printf("Hello\n");
    fflush(stdout);
    sleep(1);
  }

  return 0;
}

I launched the program using

./hello

and I can see on the terminal its messages. Then I get its pid using. However if I do

tail -f /proc//fd/1

I do not get anything. Ditto if I use

cat /proc//fd/1

I think that I probably misunderstood some concepts about stdout and /proc. It is possible to do what I'm trying to do?