ArcGIS, QGIS, and most GIS can use almost any file format, or convert it is it can't - so 'ArcGIS' doesn't inform much. There are probably thousands of data set that have the bounds of that province, at different resolutions, time periods, tens of thousands of scientific domains, from a multitude of different orbital platforms and sensors.
So it is easier to ask "Where have you looked so far?".
As the earlier experts have advised, there are so many sites available. It can be a big job to search and find the layers you want at the resolution you need.
The first step would be to decide what layers you need.
Then you can do a browser search (Google or whatever). You will come up with many sites.
You then need to look through the sites and see if you can find the layers you need, at your location in Turkey, at the resolution you need.
As an example, if you need soils layers, search for Soils Turkey.
It can be slow, but it is knowledge that is useful - after each project you will be more familiar with where to look for the type of layers you need, over your part of the world.
One place to start is Open Street Map (OSM). It is crowd sourced vector layers of the world. But not much thematic data.
1) You can start solving your problems by using the Natural Earth (NE) data collection. NE is a large set of free vector and raster map data at 1:10m, 1:50m, and 1:110m scales. The NE site adress is here: https://www.naturalearthdata.com/ 2) You can continue to work in the Google Earth Engine (GEE) cloud computing platform: https://earthengine.google.com/ . The GEE has a multi-petabyte catalog spatial data consisting of satellite imagery as well as vector datasets. In order to work in GEE, you need to know geo-programming in JavaScript and Python languages. To load the necessary layers into ArcGIS, you need to install a small free Geemap program on your computer. A description of Geemap and the program itself can be found here: https://geemap.org/ .
I searched for maps and layers published by national institutes, but couldn't find any. I also looked at open-source websites on the internet, but I don't think I've looked in the right places yet. Thank you for your response Michael John Patrick
HI Melis, good luck. I hope you find what you require. Sometimes, if you need specific data at high resolution, you may have to compromise, or digitise (trace over) hardcopy maps. Most of my local mapping involves digitising government online maps.
You could also check what is the Turkey government policies - of the mapping department, and individual departments for specific thematic data (eg agriculture, wildlife, etc).
A growing number of countries have released their main datasets to the public for free. Others will charge you, but not too expensive. And some countries do not want their citizens to have any data, even if we can pay for it.