I <get to> appreciate it.

[jihoon]

1. I appreciate it.

there's no a special implication. It's just how I feel.

2. I get to appreciate it.

I'm happy that there's something good comes to me and I can appreciate it.

3. I don't really get to appreciate it.

I'm so sad that there's not going to be a thing that I can appreciate.

Am I right to think this way?

 

[velisarius]

Can we have some sentences that will put these phrases in context, please?

 

[jihoon]

Can we have some sentences that will put these phrases in context, please?

I don't have a special context. I just wanna know when you guys sat "get to" and "don't get to".

or better, there's another sentences I can think of..

I got a car yesterday
I got to get a car yesterday.
I didn't get to get a car yesterday.

Could you add some sentences after and before the sentences to make sense?

 

[velisarius]

I got to get a car yesterday.
I didn't get to get a car yesterday.

It's very clumsy and a bit confusing to use "get to get/got to get" in this way.

Without context it's rather difficult to say exactly what the meaning is.

These show typical usage:

Ben finally got to go to Disneyland last week. He'd been pestering his parents about it for months. We use "get to do something" when we manage to do what we've been wanting to do, or when we have some privilege granted us: He was chosen to represent his class in a trip to Washington. He even got to visit the White House and meet the President.

 

[suzi br]

1. I appreciate it.

there's no a special implication. It's just how I feel.

2. I get to appreciate it.

I'm happy that there's something good comes to me and I can appreciate it.

3. I don't really get to appreciate it.

I'm so sad that there's not going to be a thing that I can appreciate.

Am I right to think this way?

No. Your gloss on the third one is wrong. There IS a thing. You do not have the opportunity to enjoy it.
E.g
There's a big party every Christmas but as a volunteer waitress I am so busy working that I don't really get to appreciate it.