Within Truckee Town limits (where most events are) there is a free shuttle service called TART Connect operating 6:30am-10pm. Download the app to reserve a trip or call (530) 553-0653. TART Connect wait times can be up to 45 minutes.
Contact the Event Organizer if you are looking for a ride or are willing to be a carpool driver. Find contact on the event page.
Uber and Lyft are around, but limited and not very reliable.
There are 26 miles of bike/walk paved paths that will get you to most Pride Week events with nearby bike racks at most locations. Truckee is a 5 mile square miles-ish Town.
There are E-Bikes to rent throughout Truckee.