Try to read the tests of the package as they are quite exhaustive.
I understand that you can simply instantiate vertices with your parametrization, for instance you have a function:
f(u,v) = Point3(x(u,v), y(u,v), z(u,v))
So you can create a lattice:
vertices = [f(u,v) for u in us for v in vs]
and connect a few of them, for example with a grid topology:
topology = GridTopology(length(us)-1, length(vs)-1)
The simple mesh is then:
mesh = SimpleMesh(vertices, topology)