First of all, you should probably start by reading the documentation on arrays. This will tell you mostly everything you need to know to work with them.
For your particular question, you want vcat, which concatenates arrays along the 1st dimension. If you have n vectors in an array of vectors vectors, you might do this:
new_vec = Vector{T}()
for vec in vectors
new_vec = vcat(new_vec, vec)
end
Instead of vcat(new_vec, vec), you can also write [new_vec; vec] as a convenient shorthand.
Edit: You could write this more concisely using a functional pattern (arguably more idiomatic):
new_vec = foldr(vcat, vectors)