Short answer
You can use the off-screen technique as presented in the other answer, but while it might make things better for screen reader users, it poses issues for Braille display users.
It's probably better to leave the =
as is in the text.
Longer answer
I'm a screen reader user myself, and we are used to situations like this where the screen reader says something when it means in fact something slightly different in the context we are currently in.
We aren't stupid, we can still understand.
In your case here, if the user knows enough chemistry, he/she can easily understand that "equals" means "double bond". And if this is an introductory course, you will anyway need to explain that notation to everyone.
Adding an alternative "double bond" text instead of leaving the "=" as is is also extremely detrimental against braille users. I don't know enough about chemistry, but for math, for example, it would make a formula totally unusable.
What do you think about:
open paren x plus one close paren squared equals x squared plus two x plus one
versus:
(x+1)² = x² + 2x + 1
You, as a sighted user, you immediately recognize and understand the second form, right?
For a braille reader, it's the same. IN the second case, he/she will understand immediately, because he/she knows the math symbols and what they mean. A good screen reader can even display the formula in the specific braille nemeth math notation, which is different from the braille used in normal text.
Even an user who isn't using braille can easily go through the equation by reading character by character. This is very common to read things like that character by character.
IN the first case, it's impossible to display the formula in braille math, and the user has to twist his/her mind to first understand the english text before mentally switching back to math mode and understand what it means in math.
That's excellent for cognitive load, isn't it?
Some software think they are doing well by converting all math formulas in plain text like in my example, but in fact they are making our live worse. For moderately complex formulas, the generated text quickly become very difficult to understand, much more than the original equation.
IN this math example, you'd better using MathML, which is a specific XML language made for math, or just plain unicode symbols are sufficient in many situations. IN both cases, screen readers become better at handling them as the time goes.
If you want to be maximally accessible, additionally to using MathML, you should also give a plain ASCII equivalent or the source code used to generate the equation in a language like LaTeX.
There are people who prefer reading plain code, and there are of course screen readers which don't support MathML (the support is quite recent and still ongoing). Therefore, by doing so, you are maximizing the chances that the screen reader user will understand either of the forms and will be able to work with it.
Now, what I have said is for math. I don't know at all what is the state of the art in chemistry, but I imagine that there exists something comparable to MathML.
I don't know either if there is a specific braille for chemistry.
If nothing comparable exists yet, it's maybe time to create something, and, in the meantime, stick to LaTeX or plain ASCII, just like when doing programming.
More generally, it would also apply for any other domain having specific notations. For example, in music, MusicXML is comparable to MathML, lilipon is comparable to LaTeX, and ABC notation could be the plain ASCII form.