Who is the girl in the bikini on the cover of the 2004 tv guide that
is the "summer preview" issue ?

TV Guide's "Summer Preview" issue of June 6, 2004 was published with
two different covers. Both featured actress Brooke Burns, of "North
Shore."

"TV Guide
NS?s Brooke Burns is on the cover of the summer preview issue of TV
Guide. There is also an article about North Shore."

North Shore, an Unofficial Guide
http://www.angeltowns.com/members/northshore/

"Brooke Burns is having a good week anyway. She's on the cover of TV
Guide with a huge toothy smile and--on some covers--a very tiny
swimsuit. Other covers show her in a tank top and less-revealing
bikini bottom."

WQAD: Showbiz Buzz, Week of 6/3/04
http://www.wqad.com/Global/story.asp?S=1915785 

You can view the two covers on TV Guide's website:

http://www.tvguide.com/games/covergallery/cover_search_results.asp?search_string=summer+preview+2004&pg=results&search_type=keyword&recipName1=&recipEmail1=&senderName=&senderEmail=

Google search strategy:

Google Web Search: "tv guide" + "summer preview" + "cover" + "bikini" 
://www.google.com/search?hl=en&ie=UTF-8&q=%22tv+guide%22+%22summer+preview%22+cover+bikini

Google Web Search: "brooke burns" + "tv guide" + "cover"
://www.google.com/search?hl=en&ie=UTF-8&q=%22brooke+burns%22+%22tv+guide%22+cover

I hope this helps. If anything is unclear, or if a link doesn't work
for you, please request clarification; I'll be glad to offer further
assistance before you rate my answer.

Best regards,
pinkfreud