There are two different ways in which two people can co-own a property:
If your father and his brother were 'tenants in common' then they each owned half of the property (unless they'd agreed on a different ratio) and, when your father died, his half would have formed part of his estate and should have been dealt with in accordance with the provisions of his will.
However if, as I suspect, they were 'joint tenants' then neither of them owned a share of the property. It was their
partnership which owned all of it and, upon your father's death, his brother (as the surviving partner) would AUTOMATICALLY own the entire property outright. Nothing in your father's will could change that.
Given that the solicitor made no reference to the property when handling your father's estate, my guess is that it was because (through there being a joint tenancy) the property didn't form part of his estate but had simply passed, in its entirety, to your uncle.
As has been stated above, once a will has gone to probate it enters the public domain, with anyone able to obtain a copy of it. (Strictly speaking, it's the grant of probate that is the public document but that comes with the will attached anyway).
https://www.gov.uk/search-will-probate
It might also be worth getting hold of a copy of the title register for the property. That's also in the public domain and will show who the registered owner is, as well as showing any charge registered against the property. The fee to obtain it is only £3:
https://www.gov.uk/search-property-information-land-registry