You will need to run wire to the windlass (note proper spelling) that is of suitable size to carry the load (probably #2 gauge). Keep in mind that when figuring the length of the line you have to include both to the windlass in back.
Put a suitably sized fuse on the positive side of the wiring within 6-8 inches of the battery.
Seriously, if you don't know what you are doing be safe and get some qualified help. The #1 cause of boat fires is electrical shorts and I suspect they are caused by bad wiring.
If you have room add an extra battery, either way look at the ones you have and figure out what you have, maybe add a monitor so you can determine the condition and state of charge.
Speaking of charging, you likely have the standard original alternator, putting out 35 amps at peak (i.e. somewhat less at idle). Not to worry too much because your windlass usage is in likely in the couple of minute range unless you have to reset several times.
BTW, Mtiempo/Brian up above is likely correct, a windlass drawing 30 amps (360 watt) is not going to be enough for a suitable anchor and rode weight on your 35 foot Pearson, even with a lunch hook of 35 pound anchor, 10 feet of chain and the rest rope you are looking at at LEAST a 1000w windlass (Maxwell rc8 for example).
Even at 1000w pulling your anchor up for 2-3 solid minutes won't kill your batteries - assuming you are motoring for a bit to get sailing room.
Here's a good 'how to choose' link - Choosing a Windlass - Lewmar
You can maybe get by with an underpowered windlass, but only if you are willing to run below decks and reset the breaker several times when it trips. Not fun.