Are you a genius?

Hi every one. Try and work this out. To start the month right figure out the word concealed in the following poem. By selecting the right letters you will come up with an appropriate word. My first is in silly but not in fool. My second in pupil but not in school. My third in read and also in write. My fourth in glimpse and also in light. My fith in ten but not in three. My last in glad and also glee. My whole a season of the year. That's clue enough to solve it here.