Hi Dan , and welcome to IIS .
I to started out many years ago with a no brand 60mm x 700mm refractor on an alt/az mount and it showed me plenty of neat stuff for a couple of years until I built my first scope , a 10 inch Newtonian .
As Malcolm and Kevin say there are plenty of things a small scope will show.
One memorable view for me was the impact marks on Jupiter from comet Shoemaker/Levy when it hit in July 1994 , these were easily seen in my 60mm .
One thing what sized eyepieces does your scope use ? are they 1 1/4 inch ( 32mm) that's the diameter of the chrome tube that goes into the diagonal and whats printed on it ( them ) as this size makes the scope much more up-gradable .
Enjoy this site as there are plenty of great people who are only to happy to help .
Brian.