Learn what your Stand does
Use the game's Stand Arrow system to obtain an ability. Check its current in-game description before comparing it with other Stands. [1]
Use quests for progression
The developer identifies quests as a way to level both your character and Stand. [1]
Choose an activity
The published options include bosses, PvP, exploration and Shiny skin collection; their requirements are not specified in the description. [1]
This guide summarizes the linked sources; it has not been tested in-game.