Where to start...first, does he have an IEP or 504 plan for his ADHD? If he does not yet have one, then you may be seeing just the first sign of educational need for accomodations. Children with ADHD qualify for IEP's with an "other health impairment" if they also have a need for special education. There is a lesser need under section 504 of the Rehabiltation act that would allow for special accomodations for him to allow him access to general education (like the "overseer" you would like for him to have in independent working conditions.) This would be a very expected difficulty for most children with ADHD, which has a basic element of poor executive function.
If I were you, I would step back just a tad, and listen to the direction his teacher wants to go. You need to protect your relationship with this teacher and the entire school and you are just at the begining of your journey, so let them guide you before you tell them your plan, they may have already come up with something, and it can be very intimidating to school personnel when parents tell them how they want the job done, even if you mean well, it can end very badly. This is coming from extensive experience in dealing with parental relationships with schools that have gone wrong. I cannot stress how important this is for a parent of a child with special needs.
Approach this conference as the initial meeting where you discuss what in class strategies his teacher can try with him, ask her what she thinks will work. In class strategies are the first step toward getting him the services if he needs them, and you want to be in a position to pull the trigger when you are ready, instead of needing to wait around a few months while they try. Make sure that they document any strategies that they agree to try because If it does not happen in writing, it never happend, and you could find yourself doing this all again.
If these strategies do not work with your son, then the next step should be for his teacher to meet with an Invervention Assistance Team (IAT) to discuss what more she can do to help him, and possilbly refer him for a school based evaluation, if he has not yet had one.
For first grade, usually, class based interventions will be effective, unless the ADHD is very severe, and/or your son needs speech and occupational therapy services to be functional in the classsroom.
If you come off as pushy, they may not be too cooperative wtih you. Depending on your teacher, they may be very defensive, though you do not want to offend. If you go to the Board of Education, this will be interpreted in a very bad light by your teacher and the principal of your school, and it is unlikely that the BOE will even agree to hear you until you have gone through the site based management thourghly, and then only if you are willing to file a formal complaint and could not reach a resolution with your principal, then the superintendant, and finally, the school board. I would strongly suggest that you not approach the BOE. The one you want to speak with is his teacher, and she will be very upset if you speak to anyone else.
I would suggest some reading for you. Even if you do not thing that your son is at the point where he needs special edcuation for his ADHD, www.wrightslaw.com is a parent advocacy website that will help you maintain a good relationship with your teacher and school. Stay calm, let your teacher be the expert, if she does not want you in the classroom, and do not be surprised if she does not, do not try to convince her that you are right. Take that as your cue that you have gotten off on the wrong foot and do what you need to do to repair your relationship, and you will probably need to back off. If she welcomes you, then by all means, go volunteer, but be very careful, it is more likely that she will interpret your offer as a suggestion that she is not doing her job, no matter how you try to tell her that is not what you think.
Good luck, I do not mean to sound like a downer, but I see this all the time as an educational advocate. Parents relationships with teachers are very tricky once you have offended them or they feel like you have suggested that they are not doing well. It happens very, very quickly.
M.