** Google parent Alphabet's GOOGL.O shares up 1.0% at $203.05
** Perplexity AI has made a $34.5 billion unsolicited all-cash offer for Alphabet's Chrome browser
** Google did not immediately respond to a Reuters request for comment
** Perplexity did not disclose how it plans to fund the offer
** As of last close, GOOGL up ~6% this year