The best way to determine load is to measure it in watts for the duration you expect to back it up for. If using lead acid you will want to size the battery so that the cycle uses 10%-20% of your capacity in watt-hours.
Knowing the head or height that you are pumping water to with that pump might help if you cannot measure it.
This can be done with a multi-meter or a plug in meter device as a KILL-A-WATT or WATTS UP power meter. These are great because they are inexpensive and accurate enough. They have calculators and elapsed time display for $/watt, accumulated over time and calculated forward, day, month, year. There are other functions that i dont use and models i have not used.
http://m.homedepot.com/p/P3-International-Kill-A-Watt-EZ-Meter-P4460/202196388?cm_mmc=Shopping%7cTHD%7cG%7c0%7cG-VF-PLA-D27E-Electrical%7c&gclid=CL-Jx7PNi9ACFQkPaQodfPIDBA&gclsrc=aw.ds
You could size for 50% or even 80% depth of discharge depending on how long a service life you need the battery to provide. If its cheap, you might just pump and dump till the wheels fall off, but for a serious long term power supply and having an ample budget and desire to operate without interuption, i would do it right, which could possibly be an off the shelf, office type UPS. Even at low wattages, 24/7 operation is a far cry from the intermittent operation you stated.
How much damage does the interuption cause to your cultures?
How long and how often are the grid outages and how long in between?
This is important to know, after running watts. Then, the equipment has to be able to supply it and the charger has to be able to re-charge the battery before the inverter is called enough to cycle the battery completely or you will "pump" it down and sacrifice the materials, effort and time, which may be small change, depending...