1. I will go there.

2. I shall go there.
3. I intend to go there.
(What does #1 mean? Does #1 mean #2 or #3?)

#1 is the future tense. The future tense talks about things that have not happened yet, but will later.

In English, to make something future tense, we add either "will" or "(be) going to" before the verb.

I will play baseball tomorrow.
I am going to play baseball tomorrow.

Those 2 things mean the same thing.

If you're asking about which one number one is closest to, it's "I shall go there." "Shall" was used a lot to talk about future tense, but that's not really used that way any more. Now, numbers 2 and 3 mean the same things. Just how our language changed over time.