1. The Google logo Should be Displayed at the top.
2.It Should have text box to do Search.
3.If you enterd nothing and just clicked search the nothing 
should be occur.
4.If you entered Special Characters like !,@,#,$ etc it 
should not search anything.
5.It should do the same search either clicking on Search 
button or pressing enter key.
6.It must have advanced Search option.
7.if a person has searched irrevelant it should 
display "Did you mean" link.
8.On clicking "Did you mean" it should modify Search of its 
own.
9.It should have Sign IN option.
10.It should have language options.

CHEERS!!!!!!!!1

ur answer is nice but i think this is validations(test 
steps )of test cases 
i have some idea about this 
->Enter the search criteria (this is test case)
test steps
1.It Should have text box to do Search.
2.If you enterd nothing and just clicked search the nothing 
should be occur.
3.If you entered Special Characters like !,@,#,$ etc it 
should not search anything.
4.if a person has searched irrevelant it should 
display "Did you mean" link.
->IF test case did't match the search criteria get the did 
u mean in answer result(Test case)
1.enter text box with irrelevent data get displays did u 
mean with correct meaning text
2.enter not existing data means ++++++,it should not match 
any thing it will not display any thing
3.if  clicks the did u mean besides correct text ,the text 
displays in the search tool bar and search results should 
displaed
----> click the advance search and displyed advance serch 
screen with text boxes
under different test steps
----->click the preferences button ,google preferances 
screen is displaying or not 
-------Click the language tools corresponging language 
tools screen is displaying or not 
like all the links performed or not 
guy related of google search home page
etc-----

When any Project/Product is given for testing,start from 
basic test like sanity test and somke test and got to 
functionality test if objects are exist to test..

Test1:-Check for avalibility  search box to enter key words.
Test2:-Check for avalibility of button to submit key words 
to search.
Test3:-Check for the lable befour the search box as "Search"
Test4:Check for the Order of Objects(like search 
box,lable,submit button..)
Test5:Check for allowing the key words to search.
Test6:check weather the button click and clicking on enter 
is giving the same result for same keywords.
Test7:search with out entering any keyword in search box.
Test9:search with all special characters as keywords.
Test10:Display the correct spelling for misspeld words or 
giv correct word
Test11:check weather the search res is displaying in same 
page or not.
Test12:Check for Order of the search result(weather it is 
accourding to metatags or not)
Test13:check how many results displayed in a single page.
Test14:check for the number of result set and number of the 
find result is same or not

correct me if iam wrong...
M.V.Krishna Chaitanya Rao
mvkrishnachaitanya@gmail.com
9963907370
Hyd