我想你已经设置了QueryTextChange listener，

searchView.setOnQueryTextListener(new OnQueryTextListener() {

    @Override
    public boolean onQueryTextSubmit(String key) {
        //do your stuff
        hideSoftKeyBoard();
        return true;
    }

    @Override
    public boolean onQueryTextChange(String key) {
        //whatever
        return true;
    }
);

隐藏键盘，

private void hideSoftKeyBoard() {
    InputMethodManager inputManager = (InputMethodManager) this.getSystemService(Context.INPUT_METHOD_SERVICE);
    inputManager.hideSoftInputFromWindow(this.getCurrentFocus().getWindowToken(), InputMethodManager.HIDE_NOT_ALWAYS);
}