When selling and buying do I pay closing costs on both?

Generally yes, you will have closing cost when selling and different closing costs when purchasing. It will depend on how the contract is negotiated in each case, though often when selling you will pay for realtor fees, title insurance, transfer tax, and potentially other fees specific to the contract or state. When purchasing you will often pay for lender origination fees, transfer tax, escrow fees or attorney fees and potentially other fees specific to the contract or state.

When selling your home you pay realtor commissions but when you purchase a home you do not. You have closing costs as far as mortgage closing costs, attorney fee, title, etc when you purchase.

Its negotiable lets schedule a call for i can fully explain- 978-350-2343

Both buyers and sellers have closing costs however, it is totally negotiable who pays the fees.
A good REALTOR can guide you through how to negotiate who will pay fees in your contract.