Queen Elizabeth II isn't exactly your average tourist, but when she and her husband, Prince Philip, visit the West Coast early next year, she will be doing some of the things average tourists do. Among them is a visit to a Hollywood sound stage, a tour of a California mission, a visit to Yosemite National Park and a glimpse of Silicon Valley.

There also will be some activities average tourists don't do -- like horseback riding with the president of the United States, having lunch at a nonroyal but exclusive desert palace and tossing a 31st wedding anniversary dinner aboard the royal yacht Britannia for President and Mrs. Reagan.

Yesterday the White House and Buckingham Palace simultaneously announced the queen's Feb. 26-March 7 schedule, which includes an active social calendar and extensive sightseeing.

The eight-day California trip will begin in San Diego, where the 412-foot Brittania, the world's largest private yacht, will arrive after sailing through the Panama Canal from a Caribbean cruise that begins Feb. 13 at Jamaica.

At the San Diego harbor, the queen and Philip, the Duke of Edinburgh, will tour U.S. Navy ships and will be guests of honor at a luncheon aboard an aircraft carrier. Later, the queen will visit the Old Globe Theatre in San Diego's Balboa Park, and Prince Philip will visit the San Diego Zoo. They also will tour the Scripps Institution of Oceanography at La Jolla. That night they will give the first of several dinners aboard the royal yacht.

On Feb. 27 the queen and Prince Philip will fly to Palm Springs to a luncheon in their honor given by former ambassador to Great Britain Walter Annenberg and his wife, Lee, at their desert estate, Sunnylands, where the Reagans plan to spend New Year's Eve. Mrs. Reagan is expected to attend the luncheon.

"We're anxious to show them our home in the desert and all the mementoes of our five-and-a-half years in Great Britain," said Lee Annenberg, reached by telephone yesterday. Asked if she had entertained any other queens at Sunnylands, she replied, "What other queens do I know?"

She said, however, that Prince Charles was a house guest at Sunnylands for several nights in 1974 and that among the guests she and her husband invited to meet the prince were then-Gov. and Mrs. Ronald Reagan. She said her husband wrote the queen to invite her to Sunnylands shortly after it was announced that she would visit California in 1983.

That night the royal party will fly to Los Angeles for a gala dinner at 20th Century-Fox studios, thus fulfilling one special wish of the queen's: to visit a Hollywood sound stage.

On Feb. 28 the queen will visit the Rockwell International space shuttle plant and will attend a civic reception hosted by the City of Los Angeles. She also will tour the British Home at Sierra Madre and the Lee British Pediatric Center at the City of Hope. That night she and Prince Philip will host a dinner aboard the Brittania.

On March 1 the yacht will anchor in Santa Barbara Bay, and from there the royal couple will visit the Santa Barbara Mission, and then will have lunch at the Reagans' ranch in the Santa Ynez Mountains 20 miles away. The queen and the president will go horseback riding together; that night the two couples will dine aboard the Britannia.

On March 2 the first lady will sail with the queen and the prince to San Francisco.

On March 3 the City of San Francisco will host a civic reception for the queen. The president of Stanford University at Palo Alto will entertain the royal couple at lunch; afterward the queen and Prince Philip will visit the Hewlett-Packard Co., in Silicon Valley. That night the Reagans will host a dinner for them at the De Young Museum.

On March 4 the queen and the prince go to Sacramento for an official luncheon at the state capital. In the afternoon, they will attend a reception in San Francisco for members of the British community. That night the queen will give an anniversary dinner for the Reagans, who will spend the night aboard the yacht.

On March 5 and 6, the royal couple will visit Yosemite National Park.

They fly to Seattle on March 7 to visit the Children's Orthopedic Hospital and Medical Center and to attend a convocation of universities organized by the University of Washington. A Seattle civic reception is planned in their honor, after which they will sail to Victoria, B.C.