[G Tablet Android Development] jacindc:
Note: As of TNTLite 2.1.1 (a supplemental install to TNTLite 2.0), you no longer need to follow the instructions in this thread to get your Google Calendar and Contacts to sync with your tablet, because the Calendar and Contacts applications and the necessary sync files have now been included with the TNTLite supplemental. In order to get the sync working, though, you will need to wipe your user data in clockworkmod, so that you go through the Google account set-up process again. WIPING YOUR USER DATA IN CLOCKWORKMOD DELETES ALL INSTALLED APPS AND SETTINGS. Use Titanium Backup to backup your apps before doing this. (Data copied to the internal sdcard is not deleted in a data wipe.)

Go to this thread for the TNTLite download, and for more information:

http://xdaforums.com/showthread.php?t=842004

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Old instructions, for pre-TNTLite 2.1.1:

This has been driving me insane for the past week--the gTablet with TNTLite was 90% of what I wanted, but the lack of a real sync with my Google contacts and calendar data has been gnawing at me. (The workaround of installing a Google account as a "Corporate" account in Contacts didn't work for me, because I have multiple Google calendars and that approach would only ever sync one.)

But I seem to have found out how to make it work! Alas, it requires a user data wipe, but to me at least it was worth it. Here's what I did.

* This was starting with TNTLite 2.02 along with the Tegra Fix *

First off, I backed up everything with Titanium Backup and also cwm. :) (You'll definitely want Clockwork Mod installed: http://xdaforums.com/showthread.php?t=842004)

Get the GApps v2 file, and copy it as an update.zip to your /sdcard: http://xdaforums.com/showthread.php?t=842590

Shut down, and boot into Clockwork Mod.

Wipe cache. Don't reboot.

Clear user data/factory reset. Don't reboot.

Install the Gapps v2 update.zip that you copied to /sdcard.

Reboot.

Skip the Google sign-in.

Set up your Wi-Fi.

Reboot.

Launch Gmail.

Add your Google Account (Accounts / Add Account). Break into a big smile when you see Contacts and Calendar show up as a sync option in addition to Gmail. Let them sync. It may take a while.

If you have a Google Apps account too, while still in Gmail, go back to Accounts and then Add Account, and add your Google Apps account. Break into an even bigger smile when you see Contacts and Calendar show up as a sync option. Let them sync. Go into the Contacts app, and verify that your contacts are all there. (You can use the Display options to show/hide them.)

[Strangely enough, at this point, I found out that the Calendar app was nowhere to be found on my tablet. Probably due to my screwing around before I started trying this out. I extracted calendar.apk from the TNTLite 2.00 update.zip, copied it to my /sdcard, and launched it. It installed, and there were allllll of my calendars. This probably won't be an issue for you.]

If you go into the Contacts app, you'll see under Add New Account that "Google" now appears, as does "Microsoft Exchange ActiveSync" (instead of just "Corporate").

At this point, I took a deep breath and did the Market Fix (http://xdaforums.com/showthread.php?t=845175), worried that it might somehow mess with the settings. Rebooted.

And my many calendars and all my contacts are still there, and the correct Account/Sync options are still in place as well.

Now I have to start reinstalling everything (thank you, Titanium Backup), but I've got the last piece of my gTablet puzzle.

Hope this helps other folks like me who've had this problem. It seems that the most important thing is to have the Gapps files already in place when you do the initial user setup under TNTLite. Since Gapps has an older version of Google Maps (and Street View), you'll want to update both of those in the Market. And then you'll need to do the Flash install, etc. etc.

(Dec. 1 update)

Note: If you install a supplemental update to TNTLite after doing this fix (i.e., installing 2.0.4), you're going to get the TNT Calendar back, overwriting the Google Calendar. Your data will still be there, and syncing will still work, but you'll have the less-professional-looking TNT Calendar interface. You can install Touch Pro Beta from the Market for a nicer replacement calendar.