Yosemite National Park charges a fee to enter. Fees are $35 per vehicle or $30 per motorcycle. If you are entering on foot, horse, or bike the fee is $20 per person. You can also purchase a park specific annual pass for $70.
Yosemite is open with some services limited due to COVID-19. Reservations are required to drive into Yosemite. Some services and facilities are limited, and shuttles are not operating. See the park website for more info: https://www.nps.gov/yose/planyourvisit/covid19.htm
The trail is fairly steep, rising 1,000 feet in about 3.5 miles. The trail is also located at high elevation, so the air is thinner, possibly causing those that are not acclimated to the elevation to tire faster, and fatigue.
The view upon arrival is worth ever bit of work it takes to get there. Cathedral Peak rises beyond a pristine alpine lake. Along side of the lake a beautiful meadow filled with wildflowers adds color to this amazing landscape. It is truly paradise. But it is essential to register early if you plan to stay overnight. Wilderness Permits are required for overnight stays at the lakes.