Since this is Legal, I'll quote 18 USC 922
Now, "be near" does not have much in the way of Federal definition. 18USC922 does not allow felons to be in possession (e.g. to just hold on to or bear) of either ammunition nor firearms.
There is language that says rights can be restored at the direction of the USAG, but, that remedy is specifically blocked by explicit defunding.
State language on this varies, and varies widely. A number of States will permit rights restoration for felons after some amount of time. But, that only applies to their State of residence. Federal Rights restoration is still blocked (which is a bone of contention both online and in the Courts)
As noted above, the conditions of Probation will determine if the person in question can be allowed to be "near" firearms--that language varies considerably, and is better answered by the appropriate attorneys, and not randos on the interwebs.