Use time.Parse and time.Since:
package main
import (
"fmt"
"time"
)
const (
// See http://golang.org/pkg/time/#Parse
timeFormat = "2006-01-02 15:04 MST"
)
func main() {
v := "2014-05-03 20:57 UTC"
then, err := time.Parse(timeFormat, v)
if err != nil {
fmt.Println(err)
return
}
duration := time.Since(then)
fmt.Println(duration.Hours())
}