It's the same process as a single family home unless you are going to get a VA or FHA loan, then the complex must be VA/FHA approved.
Other than that, you MAY have to fill out a condo questionnaire.
Property taxes, are a separate entity payable to the municipality, (NEVER EVER included in the purchase price), but they can be paid separately by you each quarter, or you can have money in escrow and have the mortgage company pay them for you with your mortgage.
Basically your monthy outlay will include Principle, Interest, Taxes and Insurance (known as PITI) plus the monthy/quarterly HOA fee. And of course the utilities, like sewer/water/electricity,/heat, unless they are covered in the HOA monthly fee too.