so do i need a sticker from samsung or verizon to use the nfc on my gs3???
No. For stickers ("tags") any tag will work fine.
You can use beam/wallet/check-ins without any stickers. Those are are device->device or device->wall-tag.
The NFC tags are used when you want to create your own NFC triggers. You program the tag to tell your phone to do something when scanned, and then can place the tag wherever. Then when you scan it, the phone does whatever its told. Could be as simple as "turn on wi-fi" or as complex as...well, almost anything since it can trigger a tasker task.
example, I have a tag in my car that turns wifi off, bluetooth on, connects to my stereo, adjusts the media volume, and then starts music playing. I have to pull out the phone, unlock it, and scan the tag, but thats easier than doing that sequence manually.