OP, Year R is still part of EYFS so retains elements of child led and play based learning. Although the phonics schemes and maths work in Reception won't reflect the level your DD's at, and the school are likely to want her to jump through all the hoops so "her foundations are solid/there are no gaps/she has achieved mastery" etc, it might only be a small chunk of the day in the scheme of things that she finds boring and repetitive, so may not impact emotions and wellbeing all that much. (It starts to impact wellbeing and engagement more as they move up through the school and the boring stuff expands to fill most of the day.)
The Reception teachers will almost certainly want to assess your DD at the start of term along with all the other children and form their own views before having any meaningful conversation with you about her learning, so I would be inclined to wait and hear what's said at parents evening after half term, and then request a longer chat with the teacher. Before September I'd just mention the reading in passing, and focus any conversations now on social and emotional aspects of the transition to Reception that are of concern.
I don't want to depress you but my experience, like other posters, is that there's not a lot of help in primary for the outliers who are very able. The reasons vary. Some schools/teachers are really good at differentiating for the typical bright kids in their classrooms and I think genuinely don't get it, that that's not enough for the outliers, the exceptionally gifted or whatever we choose to call them - so they will tell you not to worry, they know how to support your daughter, all is fine. Some schools/teachers will feel that bright kids have already won the lottery in terms of ability and don't need extra support and resources directed to them, especially when so many children in the class are struggling to reach age related expectations. Some have a certain preconception of how a bright child should present and behave ie an engaged self-starter who gets all the questions right and shows they are "ready" for and deserving of the greater depth work - so the disengaged child, or the one making inattentive mistakes, or the one who's not playing ball with colouring in the spots on the ladybird to work out what "double 3" is, hasn't yet shown they are ready for more differentiation than is being provided and/or isn't as clever as we fond or pushy parents think.
Not wanting to depress you but...They told me at Reception parents evening that my DS's next step was to add and subtract 1, working with numbers up to 10. At that point he could use mental arithmetic to calculate what he could afford in the shop with his pocket money and work out his change, because I'd told him he couldn't have pocket money until he understood the maths to use it (rookie error on my part there....), and he had a solid grasp of place value, addition and subtraction to pretty big numbers. He was also fascinated by the notion of infinity. But the teacher breezily told us children sometimes rote-memorise counting patterns without understanding and as parents we don't realise they don't understand the value of numbers, which is what school is there for - the maths equivalent of the "barking at print" comment mentioned upthread. So DS spent Reception not engaging with what they called "maths for babies" and finding alternative fun instead, which was a pain for the teachers who needed to evidence that he had met the curriculum tickboxes for the year. This is a very typical experience in Reception and KS1.
Being DME or "twice exceptional" (gifted and neurodiverse) makes it even harder as schools tend to either focus on supporting only the weaknesses, or, if the child is managing to meet age related expectations and isn't disruptive, provide no support at all for either the strengths or the weaknesses, as the child won't tick the boxes for either SEN support or more differentiation for their strengths. My DS is v bright and dyslexic and in all honesty, neither end of his needs is well supported in school. Though I understand teachers are under huge pressures and resources are v v stretched, of course. We are lucky to be in a position to support at home by giving him scope to pursue his interests and hobbies, arranging specialist dyslexia tuition, and providing space to process the emotions, anxieties and frustrations he's feeling around school. But none of this stuff is easy.
I'd recommend looking up PPUK's resources for parents if you haven't already.
Good luck.