It would be better to go with 1.25" suction pipe, even if the adapter at the tank is 1". But even if you use 1", especially with it being gravity fed you should be OK. What can happen is if your pump pulls more water than your suction pipe can supply it will begin to cavitate. If your pump does not cavitate you will be OK, but you won't know until you try. The reason I suggest 1.25" pipe is because you may want to go to a bigger pump one day and what worked for 1" may not be adequate with a bigger pump. When I'm burying stuff I like to oversize a little so if you need a little more you got it.
Good luck.