After having just enlisted in the DEP as a 35G, how can I get clarification on whether or not I'll be deployed?

Crawl, walk, run. You need to learn to crawl first. Forget about deployment and focus on getting through Basic and your schooling. Deployment depends on situations beyond control. Some soldiers will never deploy. You do what you're told, when you're told and how you're told.

The only way to know if you'll be deployed is to get deployment orders. Up until then the answer is always "maybe."

35G is not a "high deployment" MOS. Of course, these days very few are. You are LIKELY (as in not guaranteed) to only deploy if the unit you are assigned to deploys. To my knowledge, 35G is primarily a tactical MOS, especially at skill level 1 (private - specialist). That means you are likely to go to a tactical unit after AIT. The tactical units are generally the ones that deploy, but the Army deployment level is relatively low right now, so even if you are in a tactical unit, there is still a relatively low probability of deployment. But it could happen. And for some it WILL happen.

The flip side of tactical is strategic. It is possible you could be sent to a strategic assignment. These units rarely, if ever, deploy as a unit. However they do occasionally deploy individuals from the unit to augment. Your probability of deploying from there is lower, but still not none.

There is literally no way to know whether or not you will deploy until the orders come down.

I think I would worry about basic and your school first before being deployed.