So from playing a lot of skyblock today, there are a few recurring questions...
What gear do I get when I start?
What do I do with all of this grass?
I find it easiest to get this down to a flat area as soon as possible, but make sure you leave at least one grass block touching your dirt! This allows the grass to spread, and you'll need grass to get seeds later in the game.
How do I make a water source?
There are 2 ways to do this, pictured below. Use some of the dirt you have just gathered to make a box for your ice, then punch your ice blocks to make water. Make sure there is a block under your ice, or it won't do this!
Although the design on the right is more compact, you can only take from the middle block.
How do I make a cobblestone generator?
This isnt the best image, but if you replace the ice with water, and place lava on the right hand side, once that's flowed in, break the block shown as cobble here, and more cobble will form!