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I will leave the finer points to those with actual IFR training but I will attempt to strip out the basics for you to think about.

Top right of the chart shows a 10nm ring from STG with minimum heights 6600 to the west and 7900 to the east.

If you are flying with GPS and RNAV capable autopilot, you would fly direct to GIGMU or OGDIT, minimum 6800ft to ITVAK, descend to 6000ft, which will bring you to the final approach fix at D10.2

If you are flying with instruments, you would fly to Stegen STG 369 tuned on the ADF, minimum 6000ft.
If, as it seems from your pic, you are flying via Anda AD 288 tuned on the ADF, you would proceed to STG and then fly 040 from STG for 1 minute, then a standard rate turn to the right to intercept the localiser 108.3 on 250 deg. This will bring you to the final approach fix at D10.2.

From D10.2 you will need to follow the 'Gnd speed-Kts' chart near the bottom left and match your aircraft speed with a constant descent rate. This is critical in a steep slope approach 5.4deg such as this one. eg 100 knots descending at 957 fpm. (Most approaches are 3 deg as standard).
At D7.0 you can verify your progress by checking the altitude of 4170ft. Make adjustments to speed and/or descent rate if correction is required.
Continue down to MDA (minimum decision altitude) which is set but the bottom section of the chart and depends on aircraft climb rate capability and also ground speed.

If the airport can be seen at or before D1.9 and at no lower than the MDA, landing can be continued, otherwise execute a missed approach.

Missed approach is described up near the top of the chart and show with indicators near the bottom right. The missed approach will bring you back to STG and the holding pattern.

To set up the radios prior to arrival.
ADF standby 369 STG
ADF 288 AD
VOR 108.3 AD
HSI Course 250
Also decide on the MDA and speed/descent rate prior to arrival.

AD288 is actually right over the airfield and is called a Locator, which acts the same as an NDB.
To land on RWY 08 using this chart you will approach the same as RWY26 using the localiser, but at the MDA break off to the right and perform a left traffic pattern around and land on 08.
Read the text in the white box on the map. At the airport are guidance lights to help with the traffic pattern. I don't know if MFSF airport has these.
Circle to land information is found at the bottom right of the chart.

That's true. Hand flying is perfectly fine so long as there is GPS guidance to the fixes.