Broadly speaking, you're correct. As well as hashes, the general style is that curly braces {} are often used for blocks that can fit all onto one line, instead of using do/end across several lines.
Square brackets [] are used as class methods in lots of Ruby classes, including String, BigNum, Dir and confusingly enough, Hash. So:
When on their own, or assigning to a variable, [] creates arrays, and {} creates hashes. e.g.
a = [1,2,3] # an array
b = {1 => 2} # a hash
[] can be overridden as a custom method, and is generally used to fetch things from hashes (the standard library sets up [] as a method on hashes which is the same as fetch)
There is also a convention that it is used as a class method in the same way you might use a static Create method in C# or Java. e.g.
a = {1 => 2} # create a hash for example
puts a[1] # same as a.fetch(1), will print 2
Hash[1,2,3,4] # this is a custom class method which creates a new hash
This is probably the most tricky one -
{} is also syntax for blocks, but only when passed to a method OUTSIDE the arguments parens.
When you invoke methods without parens, Ruby looks at where you put the commas to figure out where the arguments end (where the parens would have been, had you typed them)
1.upto(2) { puts 'hello' } # it's a block
1.upto 2 { puts 'hello' } # syntax error, ruby can't figure out where the function args end
1.upto 2, { puts 'hello' } # the comma means "argument", so ruby sees it as a hash - this won't work because puts 'hello' isn't a valid hash
Another, not so obvious, usage of [] is as a synonym for Proc#call and Method#call. This might be a little confusing the first time you encounter it. I guess the rational behind it is that it makes it look more like a normal function call.