The Aberdeen clubs are Metro Aberdeen, Aberdeen Athletics Club, Cosmic Hillbashers and Jog Scotland. All have websites you can look at.
Jog Scotland is a good starting point if you're beginning. There's also the parkrun every Saturday at 9.30 am (starts upper prom along from the Beach Leisure Centre). Coffee at Satrosphere afterwards is a good chance to chat to other folks. It's a free 5k race.
Hope this helps.