Drink to me only with thine eyes,
And I will pledge with mine;
Or leave a kiss but in the cup,
And I'll not look for wine.
The thirst that from the soul doth rise
Doth ask a drink divine;
But might I of Jove's nectar sup,
I would not change for thine.
I sent thee late a rosy wreath,
Not so much honouring thee
As giving it a hope, that there
The speaker doesn’t wish to drink ‘Jove’, or god’s nectar, but Celia’s.  This places her on the levelof a goddess. 
 
 The word ‘Jove’ can be applied to any god, including a Christian one. But it is also the name of Zeus, the ancient Greek king of the gods. It isn’t clear that Jonson is specifying one over the other. 

Song To Celia