Do aircraft designers gather real data to confirm their design (CFD, wind tunnel) data?
What tools and techniques are used to get real data test to confirm the values that are obtained by computational fluid dynamics (CFD) calculations and wind tunnel testing?

During development wind tunnels and model tests confirm the validity of CFD results.
Usually one prototype is used for stress testing with special rigs which simulate flight loads. This testing will cover the full life of the aircraft, measured in flight hours, and will accelerate ageing by using higher than usual loads.
Once you have a flying article, test flying is used for validating the design. A new design is first flown by a certified test pilot and normally instrumented with telemetry so engineers on the ground can follow what happens during the test flight. While the first flight is done at low speed, successive flights will expand the flight parameters (speed, load factors, rotation rates) until the whole operational envelope has been covered. This is called envelope expansion and will eventually cover stalls, spins, overspeed and flutter conditions. Military aircraft will also test all planned external loads and their separation in flight.

Is this standard procedure for all aircraft before going into production?

Yes, this is the certification process. Unless a design is certified, it may only be used in a limited way. Commercial use of an aircraft requires a certification.