how to test the result in goroutine without wait in test

If you really want to check the result of a goroutine, you should use a channel like so:

package main

import (
    "fmt"
)

func main() {
    // in test
    c := Hello()
    if <-c != "done" {
        fmt.Println("assert error")
    }

    // not want to check result
    Hello()
}

func Hello() <-chan string {
    c := make(chan string)
    go func() {
        fmt.Println("do something")
        c <- "done"
    }()
    return c
}

https://play.golang.org/p/zUpNXg61Wn

Most questions of "How do I test X?" tend to boil down to X being too big.

In your case, the simplest solution is not to use goroutines in tests. Test each function in isolation. Change your code to:

func Hello() {
    go updateDatabase()
    doSomething()
}

func updateDatabase() {
    // do something and store the result for example in db
}

func doSomething() {
    // do something
}

Then write separate tests for updateDatabase and doSomething.