I think it's hard to know in advance what the overall attitude of the hiring PI is.
On one end of the spectrum is that they solely need a warm body to do the job, much like a company would. In that case, even if tuition reimbursement is a deserved perk of the job, knowing that you are interested in pursuing additional education is orthogonal to the task they need completed, and if anything letting them know you plan to take advantage of this benefit may be seen as a downside, because any time you spend on your education is not time spent doing your lab technician job.
On the other end of the spectrum is that universities and their employees have an educational mission, and academics more generally feel a bit of responsibility towards the future of their field and the academic adventure overall. In that context, the very best people to hire are those interested in furthering their education. Hiring someone like you is an opportunity not just to have a task completed but also to cultivate the next generation of scientists.
In between are some ways that your goals interact with the position directly. If you're interested in graduate school at the same institution, that means keeping you around longer; training and retraining is a pain and costs a lot of time - if you're going to be motivated to keep the same position for multiple years and there is funding available for it for multiple years, that could be a win-win even if the hiring PI doesn't care at all about your future. I'd also say that in my overall experience with research staff at your level, motivations are really important and relate to job success; people that have higher aspirations related to their job are just better employees. They have more intrinsic motivation and are naturally thinking about how to do things better even when not officially working. They're putting in their best effort rather than the minimum to get paid.
My recommendation would be to focus the most on your qualification for the position itself, but not to be shy about your other motivations for both the near and short term. In your application, that might involve stating your goals briefly in a personal statement or cover letter, making a case for how the job fits into your overall career plan. In an interview, I'd ask specifically about how long the position is expected to be available for: is this a short-term gig or will it be available for the next couple/few years? If the latter, I'd be clear that you plan to be around for awhile. I'd also answer honestly any questions about your plans and why you're applying for the job and how it presents opportunities for you.
If your boss is going to be someone who is upset that you're interested in further education, that's going to lead to miserable situations for both of you, so it's actually probably better for everyone involved if it gets counted against you.