You will almost certainly be paying the exact same amount after your minimum-term expires, as before - on the basis that you've not explicitly mentioned a phone finance deal which would mean a FlexPay. EE have two forms of contract structure...
1: A traditional plan has one single monthly payment covering all your services - phone loan & airtime. The elements are not individually split out and there is no concept of "paying off" your phone. You pay the agreed monthly rate for at least the duration of your minimum term (which you've referred to as "contract ending") but ultimately until you explicitly request a change.
2: A newer FlexPay plan has two entirely separate, independent contracts, each with their own monthly payment. You have a fixed-term finance loan which naturally ends once repaid. You have a rolling monthly contract for your airtime & usage, which is equivalent to a SIM-only.
I suspect you have a traditional plan, but check your bill or online account if you're not sure. Or contact EE-CS on 150, they have access to your specific account.
