No, that is not correct. Nor would it have any relevance if it was. It's probably best to just use Float64 (this is what C has been defaulting to for decades)
int's and long's are 32 bits on windows and 32-bit linux. long long's are 64 bits everywhere that is currently supported. longs are 64 bit on 64 bit linux. Julia's Int type is the native platform word size, which also corresponds to the sizeof the ptrdiff_t type. This makes it a useful distinction. All of this is completely irrelevant for FloatingPoint types: float's are 32-bit and doubles are 64-bit always (unless you pass special compiler flags which will make your program/library very hard to use). The i387 FPU on your 32-bit computer from over 15 years ago is pretty much just as good at computing with doubles as floats (it's successor, the modern x86_64, is no different). This makes the distinction irrelevant.
(disclaimer: the sizes of c integers given above is true of the platforms supported by julia, but is not true of all platforms)