The status of the peer type, i.e. if it is disconnected, connecting, server or client.

	function OnGUI() {
		if (Network.peerType == NetworkPeerType.Disconnected)
			GUILayout.Label("Not Connected");
		else if (Network.peerType == NetworkPeerType.Connecting)
			GUILayout.Label("Connecting");
		else
			GUILayout.Label("Network started");
	}

using UnityEngine;
using System.Collections;

public class Example : MonoBehaviour {
    void OnGUI() {
        if (Network.peerType == NetworkPeerType.Disconnected)
            GUILayout.Label("Not Connected");
        else
            if (Network.peerType == NetworkPeerType.Connecting)
                GUILayout.Label("Connecting");
            else
                GUILayout.Label("Network started");
    }
}

import UnityEngine
import System.Collections

public class Example(MonoBehaviour):

	def OnGUI() as void:
		if Network.peerType == NetworkPeerType.Disconnected:
			GUILayout.Label('Not Connected')
		elif Network.peerType == NetworkPeerType.Connecting:
			GUILayout.Label('Connecting')
		else:
			GUILayout.Label('Network started')