The membership for your account is shown as flags on the upper left corner on the main screen of the Golfshot app. Click on the flag for a description of the feature set.
The flag will either display Pro, Plan or Champions. The member below has a Pro membership.
You can also view and manage your subscriptions under Settings > Account > Subscriptions. This screen will show the subscription levels and renewal dates as well as information on how to manage or cancel subscriptions.