You really have names that are 1000 characters long? Are the MonName, MonGoal, etc. columns really for Monday Name, Monday Goal? If so, they should be moved into another table and linked to this one. TotalFund sounds more like a numeric column than an nvarchar. Depending on the answers to these questions, you may want to start with redesigning the database after learning some basic DB design practices before it's too late.
Anyway, I think this is what you're looking for:
SELECT
name,
Goal
Activities,
Result,
MonName,
MonGoal,
MonActivities,
MonResult,
TotalFund
FROM
tProject
WHERE
name LIKE '%' + @search_string + '%' OR
Goal LIKE '%' + @search_string + '%' OR
Activities LIKE '%' + @search_string + '%' OR
Result LIKE '%' + @search_string + '%' OR
MonName LIKE '%' + @search_string + '%' OR
MonGoal LIKE '%' + @search_string + '%' OR
MonActivities LIKE '%' + @search_string + '%' OR
MonResult LIKE '%' + @search_string + '%' OR
TotalFun LIKE '%' + @search_string + '%'
You can also look into full text string searching, although I don't know if that will make it any simpler.