I will arrive to Geneva airport from Paris, the specified arrival time is 09:05 in the morning. I heard that the airport terminal and train station are in same floor there, I have to transfer to the train to Interlaken right away and can I make it to the 10:00 train after all the luggage claim and sort of security pat down things? if that 55 minutes are too much pushing how much time will be the best?
I don't know about how efficient baggage claim is in Genève.
However, if your flight is more or less on time, you have more than enough time. Getting the train ticket is no big deal; you can get it at the counter or at a ticket vending machine (if you have a voucher for a pass, you'd have to go to the counter).
If time is tight and you are not alone, you could send someone from your party ahead to get the train tickets.
Finally, if you miss the 10:00 train, don't worry, there is the 11:00 train…
As you come from Paris, you will be within Schengen zone anyway, so there will be no immigration, and what do you think about security (when leaving the airport…).
The suggestion to do the whole trip by train should really be considered…