Urban Dictionary defines sweet as “An intensive used to express satisfaction, acceptance, pleasure, excellence, exaltation, approval, awe, or reverence. When used individually, the level of satisfaction expressed is most often directly proportionate to the duration of the vowel sound.” For examples of this vernacular, consult Dude, Where’s My Car, Bill and Ted’s Excellent Adventure, Wayne’s World, or any comedy film that features two best slacker buds.
Sweee* is a moderate probability typo on the Ballard List and appears 10 times in OhioLINK. A few of these hits have turned up excellent titles such as Dude, you can do it! : how to build a sweeet PC. Others seem to be totally bogus content notes and should be corrected with the item in hand.
A title search for the meme "Dude, where's my" in WorldCat results in 102 hits. Among the quested-for items: country, theory, debate, spaceship, year, horse, jetpack, bailout, etc.
(Dude, Where's My Car screenshot from TV Guide)