It is positively charged because a negatively charged electron was removed from the atom. The 35 remaining electrons were outnumbered by the 36 positively charged protons, resulting in a charge of +1. The atomic weight is basically a measurement of the total number of particles in an atom's nucleus.
Links
[1] https://hootsgo.org/?q=node/6458
[2] http://www.chem4kids.com/files/atom_electron.html