Quote
Is there an objective standard for determing what is right(righteous) for men to do?

Yes. The Bible is the infallible, divinely inspired Word of God:

2 Timothy 3:14-17
14 You, however, continue in the things you have learned and become convinced of, knowing from whom you have learned them,
15 and that from childhood you have known the sacred writings which are able to give you the wisdom that leads to salvation through faith which is in Christ Jesus.
16 All Scripture is inspired by God and profitable for teaching, for reproof, for correction, for training in righteousness;
17 so that the man of God may be adequate, equipped for every good work.

For a good introduction to the theology of the Bible, look at what the Westminster Confession of Faith has to say about it:

http://www.the-highway.com/WCFChI.html


Quote
Would the same standard apply to God?

Well, yes. God is absolutely holy, righteous, and just.

Exodus 15:11:
Who is like You among the gods, O LORD?
Who is like You, majestic in holiness,
Awesome in praises, working wonders?

I Samuel 2:2-3
2 There is no one holy like the LORD,
Indeed, there is no one besides You,
Nor is there any rock like our God.
3 Boast no more so very proudly,
Do not let arrogance come out of your mouth;
For the LORD is a God of knowledge,
And with Him actions are weighed.

Psalm 93:5
Your testimonies are fully confirmed;
Holiness befits Your house,
O LORD, forevermore.

Wonderful words for the Christian:

I Peter 1:14-2:3
14 As obedient children, do not be conformed to the former lusts which were yours in your ignorance,
15 but like the Holy One who called you, be holy yourselves also in all your behavior;
16 because it is written, "YOU SHALL BE HOLY, FOR I AM HOLY."
17 If you address as Father the One who impartially judges according to each one's work, conduct yourselves in fear during the time of your stay on earth;
18 knowing that you were not redeemed with perishable things like silver or gold from your futile way of life inherited from your forefathers,
19 but with precious blood, as of a lamb unblemished and spotless, the blood of Christ.
20 For He was foreknown before the foundation of the world, but has appeared in these last times for the sake of you
21 who through Him are believers in God, who raised Him from the dead and gave Him glory, so that your faith and hope are in God.
22 Since you have in obedience to the truth purified your souls for a sincere love of the brethren, fervently love one another from the heart,
23 for you have been born again not of seed which is perishable but imperishable, that is, through the living and enduring word of God.
24 For,
"ALL FLESH IS LIKE GRASS,
AND ALL ITS GLORY LIKE THE FLOWER OF GRASS.
THE GRASS WITHERS,
AND THE FLOWER FALLS OFF,
25
BUT THE WORD OF THE LORD ENDURES FOREVER."
And this is the word which was preached to you.
1 Therefore, putting aside all malice and all deceit and hypocrisy and envy and all slander,
2 like newborn babies, long for the pure milk of the word, so that by it you may grow in respect to salvation,
3 if you have tasted the kindness of the Lord.


True godliness is a sincere feeling which loves God as Father as much as it fears and reverences Him as Lord, embraces His righteousness, and dreads offending Him worse than death~ Calvin