If only an element's atomic number and weight are provided for a neutral atom, the information that can be determined is:
the number of protons, electrons, and neutrons.
The atomic number indicates the number of protons, which is also equal to the number of electrons in a neutral atom. The atomic weight can be used to estimate the number of neutrons by subtracting the atomic number from the atomic mass (rounded to the nearest whole number), giving you the number of neutrons.