Can the judge grant the divorce the day we go to court based on the papers filed and if she doesn't show can the hearing go on?

You do not have an uncontested divorce (which is one with a complete settlement of all issues in writing). Since you have a contested divorce you need to sit down with counsel and carefully determine your next steps.

What I believe you are writing is that
a) you have filed for divorce
b) your wife has filed an answer, agreeing to the major items you proposed
c) your wife has not signed a settlement agreement
d) the court has scheduled a hearing.

In this circumstance, if your wife has proper notice of the hearing, and does not show up or ask for a continuance, the hearing can go on.

There are many potential pitfalls along the way, and I strongly suggest you seek legal counsel before finalizing your divorce to be sure you have done things correctly, and that you haven't made a mistake that may cost you later.

*** This is a general interest posting on a public website, regarding general legal concepts. This posting is not, and should not be interpreted to be legal advice to anyone, or to create an attorney client relationship between the poster and anyone. There is no way the amount of information in a website posting could be sufficient for the poster to provide informed legal advice. If you have legal questions pertaining to your situation, you should discuss them with an attorney, in person, and in sufficient detail for that attorney to provide you with confidential, competent legal advice ***

Your spouse must sign a Settlement Agreement that governs the terms of your divorce before a Judge will grant you a Final Judgment and Decree of Divorce. If your spouse refuses to sign a Settlement Agreement, you can still get divorced, but you will most likely need an attorney to accomplish this task. Judges are reluctant to grant divorces without you presenting all of the appropriate evidence and meeting your burden of proof. You must prove to the Court that your marriage is irretrievably broken and that there is no hope for reconciliation. You will also need to file a Domestic Relations Financial Affidavit, and have concrete proof that your Wife has been served with the divorce papers. I urge you to speak to a local attorney that practices in Family Law to find out your best options. Many attorneys offer free consultations.