You need drop D tuning for this. It's kinda fiddly at points, with the rhythm changing but the riff still using the same notes, so I just tend to improvise a at points (largely because I can't hear exactly what the bass is doing). But, hey, that's part of the fun of playing :) Where I put > next to a note, it's because the rhythm doesn't always stay the same, or I can't quite figure out how many times that note's played :) Plus, I'm not too fussed about playing things exactly; if you want every note on every riff played exactly right, go see N'Sync or something. Part of the fun of live music is it's spontaneous nature.
Anyway, I recommend that you don't use a pick for this. You'll struggle with the solo.

Intro riff  - "now it's time..." - x2
G|----------------
D|----------------
A|----------------
D|--888-888-777-777

"And on the first day..." - x2
G|--------------------------------
D|--------------------------------
A|---------------8----------------
D|--8>-88-88-88-8---7>-77-77-77-70

"Still you won't let go..." - x4
G|----------------
D|----------------
A|----------------
D|--88888-55550---

"We all sing..." -  10s and 12s. The rhythm's kinda akward here. x2
G|---------------------------
D|---------------------------
A|-8>-77-787---10>------12>--
D|-----------10-----1010-----

"Rain rain down...." - the section after the slides is pretty fast, with 9s and 10s. x3
G|-777-7/2\10-99-1099-5>--4>-----
D|---------------------------------
A|---------------------------------
D|---------------------------------

Back to "We all sing" riff. x2

Then to "And on the first day..." riff, up until the solo. x3

Solo - this section sounds inconsistent to me with it's timing, but this is the basic structure, as I play it. x3
G|-777-7/2\10-99-1099--5>--4>--------
D|-000-0-0-0--00-0-00--5>--4>--------
A|------------------------------------
D|------------------------------------

After the solo, you get the nice shouty bit. Because I normally sing the backing vocals along to this song, and because said vocals are so loud on this section on the record, it's hard to get the timing. So, improvise :) It's worth noting that the Abs (6 on the D string) are quite hard to catch, with only two or three being played each time. If you don't bother with them, I doubt many people will notice. x2
G|------------------
D|------------------
A|-5>-0>---8>-7>----
D|------6>----------

Second time, it goes
G|----------------------
D|----------------------
A|-5>-0>---8>-7-8-7-8-7-
D|------6>--------------

If you're in a mood for showing off, you can play it different to the record, like so:
G|-------------------
D|-------------------
A|-5>-0>--8>-7>-787--
D|------6>----------10 (just like with the "we all sing" riff)

Then, you're onto the final riff, woo! But, because there's so much going on here, I can never quite get the exact timing; so, again, improvise with it. I think the first time through, it finishes with D|-9-10-9-

G|-------------------------------
D|-------------------------------
A|-------------------------------
D|-0>-7>-3>\10>-12>-9>-----------

Finish on

G|---
D|---
A|---
D|-7-

And that should be everything. Any problems should only be minor ones, which can be easily solved by playing around a bit.