Do you just want to track your climbing sessions, both indoors and at the crag?
Are you interested in seeing how much and how hard you climb over time?
If so, OK-Climb lite is a great place to start!

OK-Climb is an app built to let users track their gym sessions and crag climbs for both roped/wall-climbing and bouldering. It supports adding previous climbing sessions if you'd like to import data from elsewhere as well as live session logging.

Once you have some sessions logged, the application will allow you to view that session, some statistics over time, and even lifetime stats highlighting your progression as a climber.